Question

Solve the system of linear equations by substitution. 3x−2y=15 y=2x−11

Answer 1

The solution set is (7,3).

Step-by-step explanation:

Given system of equations is;

3x−2y=15     Eqn 1

y=2x−11        Eqn 2

Substituting value of y from Eqn 2 in Eqn 1

$3x-2(2x-11)=15\\3x-4x+22=15\\-x+22-15=0\\7=x\\x=7$

Putting x=7 in Eqn 2

$y=2(7)-11\\y=14-11\\y=3$

The solution set is (7,3).

Keywords: linear equation, substitution method

Learn more about linear equations at:

• brainly.com/question/10688256
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