Question

. Solve the following system of equations: 1. y - 3x + 15 = 10

2. 6 - 4x = y

Answer 1

1.) Solving for X problem 1#

y-3x+15=10

-3x+15-15=10-15-y

-3x=-y-5

-3x/-3=-y-5/3

x=(-y-5)/3

2.) Solving for Y problem 1#

y-3x+15=10

y-3x+3x+15-15=10-15+3x

y=3x-5

1.) Solving for X problem 2#

6-4x=y

-4x+6-6=y-6

-4x/4=y-6/4

x=(y-6)/4

2.) Solving for Y problem 2#

6-4x=y

y=-4x+6

Answer 2

The first equation can be further simplified so first do that by subtracting 15 to both sides

y - 3x + (15 - 15) = 10 - 15

y - 3x = -5

We know from the second equation that y is 6 - 4x so in the equation y - 3x = -5 plug in 6 - 4x for y

(6 - 4x) - 3x = -5

6 - 4x - 3x = -5

Combine like terms

6 - 7x = -5

(6 - 6) - 7x = -5 - 6

-7x = -11

Isolate x

-7x/-7 = -11/-7

x = 11/7

To solve for y plug in 11/7 in for x in the equation 6 - 4x = y

6 - 4(11/7) =y

6 - 44/7 = y

y = -2/7

so...

(11/7 , -2/7)

Hope this helped!

~Just a girl in love with Shawn Mendes