Question

Solve each system of equations by the substitution method.

$3x+y=19$

$2x–5y=–10$

Short answer

The solution of given system of equations is x = 5, y = 4.

Step-by-step solution

Step 1. Substitute value of one variable from one equation to another.

Add on both the sides of $3x+y=19$and simplify.

3x + y – 3x = 19 – 3x

y = 19 – 3x

Substitute 19-3x for into 2x-5y=-10 and simplify.

2x – 5(19 – 3x) = –10

2x – 95 + 15 = –10

17x = 85