Question

Solve the system of equations. y = 7x - 53 y = -4x + 35 a. ( -3, -8) c. ( -8, 3) b. ( 8, 3) d. No solution Please select the best answer from the choices provided A B C D

Answer 1

the answer would be c.
(8,3)

y=7x-53

(3)=7(8)-53
3=56-53
3=3

y=-4x+34

(3)=-4(8)+35
3=-32+35
3=3

Answer 2

b. (8, 3)

Explanation:

[Linear System with Two Variables]

Given that:

y = 7x - 53

y = -4x + 35

(i) Find the value of x

Substitute the value of y in -4x + 35 with 7x - 53

Therefore we get

7x - 53 = -4x + 35

-4x to the left side of "=" = + 4x

-53 to the right side of "=" = + 53

we get:

7x + 4x = 53 + 35

11x = 88

x = 8 ✅

(ii) Find the value of y

y = 7x - 53

put x = 8 after the coefficient = 7

y = 7·8 - 53

y = 56 - 53

y = 3 ✅

The value of (x, y) =

(8, 3) ✅

Option B

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