Question

Equation 1. v = 3.1 + 14 y = -1

Solve the system of linear equations by substitution. Check your equation.

1. y = 3x + 14
y = -4x

3. x = 6y - 7
4x + y = -3

Answer 1

Q1: x = -2, y = 8

Q3: x = -1, y = 1

Explanation:

Q1:

y = 3x + 14 --- 1

y = -4x --- 2

Substitute 1 into 2:

3x + 14 = -4x

7x = -14

x = -2

Substitute x into 2 to find y.

y = -4(-2)

= 8

Hence, x = -2 and y = 8.

Q3:

x = 6y -7 --- 1

4x + y = -3 --- 2

Substitute 1 into 2:

4(6y - 7) + y = -3

24y - 28 + y = -3

25y = 25

y = 1

Substitute y into 1 to find x.

x = 6(1) - 7

= -1

Hence, x = -1 and y = 1.