Question

Solve each system by the method of addition or subtraction.

7y = 2x + 35

3y = 2x + 15

Short answer

The solution of given system of equations is x = 0, y = 5.

Step-by-step solution

Step 1. Description of step.

Subtract $3y=2x+15$ from $7y=2x+35$and simplify.

$7y–3y=(2x+35)–(2x+15)$

$4y=20$

Step 2. Description of step.

Divide each side of the equation obtained in step 1 by to find the value of y.

$\frac{4y}{4}=\frac{20}{4}$

$y=5$

Step 3. Description of step.

Substitute for y into $3y=2x+15$, to find the value of x.

$3\times 5=2x+15$

$15=2x+15$

$2x=0$

$x=0$

Therefore, the solution of given system of equations is $x=0$, $y=5$.