Question

Estimate the solution to the system of equations.
2x+3y=6
-4x+3y=12

Answer 1

The solution is:

$x=-1, y=2\frac{2}{3}$

Step-by-step explanation:

Given

2x+3y=6     Eqn 1

-4x+3y=12     Eqn 2

Subtracting equation 2 from equation 1

$2x+3y-(-4x+3y)=6-12\\2x+3y+4x-3y=-6\\6x=-6\\Dividing\ both\ sides\ by\ -6\\\frac{6x}{6}=\frac{-6}{6}\\x=-1$

Putting x=-1 in equation 1

$2x+3y=6\\2(-1)+3y=6\\-2+3y=6\\3y=6+2\\3y=8\\Dividing\ both\ sides\ by\ 3\\\frac{3y}{3}=\frac{8}{3}\\y=2\frac{2}{3}$

The solution is:

$x=-1, y=2\frac{2}{3}$

Keywords: Linear equations

Learn more about linear equations at:

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