Question

Solve the system of equations. Please show your work so I can learn how to do this. Thank you!

y=-3x+2
y=4x-5

A-(1, -3)

B-(1, -1)
C (-3, 4)

D (2, -5)

Answer 1

`\huge\boxed{\sf \{(1,-1)\}}`

Explanation:

Given equations:

y = -3x + 2 -------------(1)

y = 4x - 5 ---------------(2)

Equating both equations.

We get,

-3x + 2 = 4x - 5

• Add 3x to both sides

2 = 4x + 3x - 5

2 = 7x - 5

• Add 5 to both sides

2 + 5 = 7x

7 = 7x

• Divide both sides by 7

1 = x

OR

x = 1

Put x = 1 in Eq. (1)

y = -3(1) + 2

y = -3 + 2

y = -1

Solution set = {(x,y)} = {(1,-1)}

`\rule[225]{225}{2}`