Question

Solve the system using substitution. 3x + 4y = 2 2x + 2y = 4

Answer 1

x = 6, y = -4

Explanation:

Equation 1: 3x + 4y = 2

Equation 2: 2x + 2y = 4

Step 1: Solve Equation 2 for x

2x + 2y = 4

2x = 4 - 2y

x = (4 - 2y) / 2

x = 2 - y

Step 2: Substitute x into Equation 1

3x + 4y = 2

3(2 - y) + 4y = 2

6 - 3y + 4y = 2

y + 6 = 2

y = 2 - 6

y = -4

Step 3: Substitute y into x = 2 - y

x = 2 - y

x = 2 - (-4)

x = 2 + 4

x = 6

Solution: x = 6, y = -4