What is the x-coordinate at the point of intersection for these equations?
f(x) = 2.8x - 12
g(x) = 5.8x + 9
a) -7
b) -3
c) 3
d) 7

A) x = -7 .

Step-by-step explanation:

Given : f(x) = 2.8x - 12

g(x) = 5.8x + 9.

To find : What is the x-coordinate at the point of intersection for these equations.

Solution : We have given that

y = 2.8x - 12   ( equation 1)

y = 5.8x + 9( equation 2)

On subtracting equation 2 from equation 1.

y = 2.8x - 12

(-)y = (-)5.8x +(-) 9

0=  - 3x - 21

On adding 21 both sides

21 = -3x

On dividing both sides by -3 and switching sides .

x = -7 .

Therefore, x = -7 .

b

step-by-step explanation: