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Lisa Schaefer
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∙ 15y agox-3y= -2
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5x plus 3y-x plus 10-2y?
5x + (3y-x) + (10-2y) = 5x + 3y - x + 10 -2y = 5x - x + 3y - 2y + 10 = 4x + y +10
What are the intercepts of 2x-3y-4z equals -24?
2x-3y-4z=-24 has 3 potential intercepts. The x, y and z interceps. To find the x intercept we set y=z=0 This gives 2x=-24 or x=-12 To find the z intercept we set x=y=0 This gives -4z=-24 or z=6 Lastly to find the y intercept, x=z=0 so -3y=-24 and y=8 The x intercept is (-12,0,0), the y intercept is (0,8,0) and the z intercept is (0,0,6)
3y plus 4z plus 12y equals 3y?
3y + 4z + 12y = 3y -3y -3y ------------------------- 4z + 12y = 0 divide everything by 4 z + 3y = 0 -3y -3y z = -3y
What is the number of a two digit number that is four times the sum of its digits The tens digit is 3 less than the units digit what are you?
Let's break it down: "What is the two digit number ..." x is the 10's place; y is the 1's place; and z is the answer. 10x + y = z "... that is [equal to] 4 times the sum of its digits ..." 4(x + y) = 10x + y "... The tens digit is [equal to] 3 less than the units [1's] digit ..." x = y - 3 Break down the complex equation: 4x + 4y = 10x + y 3y = 6x Substitute the other equation for x, because x = y - 3, and continue: 3y = 6(y - 3) 3y = 6y - 18 -3y = -18 -y = -6 y = 6 So 6 is y, the 1's number. x = y - 3 x = 6 - 3 x = 3 And 3 is x, your 10's number. Almost there! Now find your final answer, z: 10x + y = z 10(3) + 6 = z 30 + 6 = z 36 = z Your answer is 36.
Solve this system of equations 5x plus 3y plus z equals -29 x-3y plus 2z equals 23 14x-2y plus 3z equals -18?
Solve this system of equations. 5x+3y+z=-29 x-3y+2z=23 14x-2y+3z=-18 Write the solution as an ordered triple.
What are the intercepts of 2x 3y-6z equals 30?
x: x = 15 y: y = 10 z: z = -5
What is the factor of negative 3x - 3y - 3z?
-3(x + y + z)
5x plus 3y-x plus 10-2y?
5x + (3y-x) + (10-2y) = 5x + 3y - x + 10 -2y = 5x - x + 3y - 2y + 10 = 4x + y +10
What is the answer to x-3y plus 3z equals -4 2x plus 3y-z equals 15 4-3y-z equals 19?
4.34684352143
What is the point of intersection of 3x -y -z equals 0 and x plus 3y -17z equals 0?
Rearrange the equations in the form of: x+3y = 17z 3*(3x-y = z) Multply the second equation by 3: x+3y = 17z 9x-3y = 3z Add them together to eliminate y: 10x = 20z Divide both sides by 10: x = 2z Substitute the value of x into the original equations to find the value of y: Therefore the point of intersection is: (2z, 5z)
4x-5y equals 20 equals x-3y equals 10?
4x-5y=20 x-3y=10 becomes x=3y-10 plug that into the first equation: 4(3y-10)-5y=20 12y-40-5y=20 7y=60 y=60/7 If x=3y-10, then x=3(60/7)-10 x=180/7 - 70/7 x=110/7
What are the intercepts of 2x-3y-4z equals -24?
2x-3y-4z=-24 has 3 potential intercepts. The x, y and z interceps. To find the x intercept we set y=z=0 This gives 2x=-24 or x=-12 To find the z intercept we set x=y=0 This gives -4z=-24 or z=6 Lastly to find the y intercept, x=z=0 so -3y=-24 and y=8 The x intercept is (-12,0,0), the y intercept is (0,8,0) and the z intercept is (0,0,6)
When your factoring what is 3x plus 3y-3z?
3(x+y-z)
Solve the following system of equations x plus 2y -6 equals z 3y-2z equals 7 4 plus 3x equals 2y -5z?
x+2y-6=z -z -z x+2y-z-6=0 +6 +6 ---------> x+2y-z=6 3y-2z=7 ---------> 0x+3y-2z=7 4+3x=2y-5z -3x -3x ---------> -3x+2y-5z=4 Put them into a matrix, for x,y,z and their answers. Solve for [A]-1[B], and the answer comes to: x= 1.75, y= 1.5, and z= -1.25
What is the equation x equals 3y in standard form?
x = 3y x - 3y = 3y - 3y x - 3y = 3y - 3y x - 3y = 0
3y plus 4z plus 12y equals 3y?
3y + 4z + 12y = 3y -3y -3y ------------------------- 4z + 12y = 0 divide everything by 4 z + 3y = 0 -3y -3y z = -3y
What is the number of a two digit number that is four times the sum of its digits The tens digit is 3 less than the units digit what are you?
Let's break it down: "What is the two digit number ..." x is the 10's place; y is the 1's place; and z is the answer. 10x + y = z "... that is [equal to] 4 times the sum of its digits ..." 4(x + y) = 10x + y "... The tens digit is [equal to] 3 less than the units [1's] digit ..." x = y - 3 Break down the complex equation: 4x + 4y = 10x + y 3y = 6x Substitute the other equation for x, because x = y - 3, and continue: 3y = 6(y - 3) 3y = 6y - 18 -3y = -18 -y = -6 y = 6 So 6 is y, the 1's number. x = y - 3 x = 6 - 3 x = 3 And 3 is x, your 10's number. Almost there! Now find your final answer, z: 10x + y = z 10(3) + 6 = z 30 + 6 = z 36 = z Your answer is 36.
