Question

Solve the systems of equations:
y=-3x+4
y=4x-10

Answer 1

x=2 and y=-2

Explanation:

y+3x= 4.......(1)

y-4x= -10.......(2)

Subtract equation 2 from 1

y+3x= 4

-y-4x= -10

------------

0+7x = 14

7x = 14

divide both sides by 7

7x = 14

---- ----

7 7

x = 2

Substitute x=2 into equation 1

y = -3x + 4

y = -3(2) + 4

y = -6 + 4

y = -2

x = 2 and y = -2

Answer 2

x = 2

y = -2

(2,-2) in point form