Add the equations: 4a + 4a - 5b + 5b = 7 + 17 ie 8a = 24 a = 3, so b = 1
You need two equations to use the addition method.
Double first equation: 2x + 2y = 4 Subtract this from second equation giving 5y = 5 so y = 1 and x = 1
solve system equation using addition method 3x-y=9 2x+y=6
8.00 − 5.91 = 2.09 (Method is to first subtract 2.09 from 8.00, which equals 5.91 If you then subtract 5.91 from 8.00 the answer will be 2.09)
From first equation, -y = 3x + 3. Substitute in second equation: -3x + 5(3x + 3) = -21 ie 12x = -36 so x = -3 and y = -(-9 + 3) = 6. Easier method: subtract first equation from second giving -4y = -24 so y = 6, this in first equation gives -6 = 3x + 3, ie 3x = -9 so x = -3
The answer depends on the equation: there is no single method which can be used for all equations.
Completing the square is a method to solve quadratic equations. To use this method you take the number without a variable and subtract it from both sides, so that it is on the opposite side of the equation. Then add the square of half the coefficient of the x-term to both sides. This will give you a perfect square equation to solve for.
how do you use the substitution method for this problem 2x-3y=-2 4x+y=24
x - y = 2 : Equation 1 2x + 3y = 4 : Equation 2 Multiplying Equation 1 by 3 gives 3x - 3y = 6 : Equation 3 Adding Equation 2 to Equation 3 gives 5x = 10 Dividing both sides by 5 gives x = 5 Substituting x=5 into Equation 1 gives 5 - y = 2 Therefore y = 3. Our final answer is therefore x=5 and y=3
Multiply 473*.30 which equals 142.9. Or multiply 473*.70 which equals 331.1 then subtract the product from original number. So 473 minus 331.1 equals 142.9 which proves the first method.
The Java superclass Object says that all Java objects have an equals method. Thus Comparator has an equals method.
Multiply all terms in the second equation by 5: 11x+10y = 147 0x+10y = 70 Subtract the second equation from the first equation in order to eliminate y: 11x = 77 Divde both sides by 11 in order to find the value of x: x = 7 Substitute the value of x into the original equations to find the value of y: Therefore it follows that x = 7 and y = 7
We cannot find out the y and x intercept for the equation 3x plus 5y equals -15 by a single equation . But , we can try a hit and trial method for the same . when x =0 y =-3. when y=0 x=-5.
Column method can be used for both !
3 & 5.
Using the quadratic equation formula is a method of solving quadratic equations.