Question

How many solutions does the system have? Y=4x-7 y=x-3

Answer 1

y=4x-7......(1)

y=x-3.........(2)

(2)×4

4y=4x-12......(3)

(1)-(3)

y=-5/3

x=4/3

Answer 2

Answer:

one solution

Step-by-step explanation:

Given the 2 equations

y = 4x - 7 → (1)

y = x - 3 → (2)

Substitute y = 4x - 7 into (2)

4x - 7 = x - 3 ( subtract x from both sides )

3x - 7 = - 3 ( add 7 to both sides )

3x = 4 ( divide both sides by 3 )

x = $\frac{4}{3}$

Substitute this value into (2) for corresponding value of y

y = $\frac{4}{3}$ - 3 = $\frac{4}{3}$ - $\frac{9}{3}$ = - $\frac{5}{3}$

Solution is ( $\frac{4}{3}$, - $\frac{5}{3}$)