Question

If y = 5x - 3 and 3x - y = - 1 , what is the value of y ? 2.2 c . 7 d . -8

Answer 1

Given:

y = 5x - 3..........................1

3x - y = -1..........................2

To find the value of y, let's solve the equation simultaneously using substitution method.

Substitute (5x - 3) for y in equation 2:

3x - y = -1

3x - (5x - 3) = -1

3x - 5x + 3 = -1

-2x + 3 = -1

Subtract 3 from both sides:

-2x + 3 - 3= -1 - 3

-2x = -4

Divide both sides by -2:

`\begin{gathered} (-2x)/(-2)=(-4)/(-2) \\ \\ x=2 \end{gathered}`

Substitute 2 for x in equation 1:

y = 5x - 3

y = 5(2) - 3

y = 10 - 3

y = 7

Therefore, the value of y is 7

ANSWER:

c. 7