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2x + y = 5
2y + x = 4
This is SIMULTANEOUS Equations.
To solve , arbitrarily select a letter to eliminate, In this case 'x'
To do this the coefficients of 'x' must be the same , but of opposite sign. Hence multiply the bottom equation by '-2'
Hence
2x + y = 5
-2x - 4y = =8
Add
-3y = -3
Divide both sides by '-1'
3y = 3
y = 1
When y= 1
Substitute back in to either eq'n
2x + 1 = 5
Subtract '1' from both sides
2x = 4
x = 2
Hence the answer is ( x,y) = ( 2,1)
lenpollock
Wiki User
∙ 13y agoone solution
write down the 2 equations
eq 1: 2x + y = 5
eq 2: 2y + x = 4
get a value for x from eq 2
x = 4 - 2y
substitute 4 - 2y for x in eq 1
2(4 - 2y) + y = 5
8 - 4y +y = 5
-3y = -3
y=1
substitute 1 for y in eq 2
2(1) + x = 4
2 + x = 4
x = 4-2
x = 2
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What type of lines are these y equals 2x plus 4 and 2y equals -4 plus 10?
parallel
What is -2x plus 2y equals 4?
-2x + 2y = 4 is equivalent to twice -2 + y = 2 which is the equation of a straight line.
How do you solve 2y equals 4x plus 4?
2y = 4x + 4y = 2x + 2
How do you Put in ordered pair 2x plus 2y equals 14 and 2x-4 equals 5?
k
3x plus 2y equals 2 and -2x plus y equals 8?
(-2, 4)
3x plus 2y equals 10 2x plus 5y equals 3?
(4, -1)
What type of lines are these y equals 2x plus 4 and 12 equals 2y plus x?
If: 12 = 2y+x then y = -1/2x+6 So: y = 2x+4 and y = -1/2x+6 which means that they are perpendicular lines
2x plus y equals 8 and x plus y equals 6?
x = 2y = 4
What is 4x plus 2y equals -8 written in slope-intercept form?
4x + 2y = -8 → 2y = -4x - 8 → y = -2x - 4
How do you find y intercept for -2x plus 2y equals 4?
-2X + 2Y = 4 2Y = 2X + 4 Y = X +2 by inspection, 2 but, you could also 0 out X in original equation -2(0) + 2Y = 4 2Y = 4 Y = 2
How many solutions does 2x plus y equals 5 and 2y plus x equals 4 have?
1 solution
What type of lines are these y equals 2x plus 4 and x plus 2y equals 12?
They are straight lines.
