Question

Solve each system by the method of addition or subtraction.

$3x–2y=11$

$3x–y=7$

Short answer

The solution of given system of equations is x = 1,y = –4.

Step-by-step solution

Step 1. Description of step.

Subtract $3x-2y=11$from $3x-y=7$and simplify to find the value of y.

$(3x–y)–(3x–2y)=7–11$

$y=–4$

Step 2. Description of step.

Substitute – 4 for into $3x-y=7$and simplify.

$3x–(–4)=7$

$3x=3$

Step 3. Description of step.

Divide each side of the equation obtained in step 2 by 3 to find the value of x.

$\frac{3x}{3}=\frac{3}{3}$

$x=1$

Therefore, the solution of given system of equations is x = 1,y = –4.