Question

Solve the system of linear equatlons below.

y = 2x+ 19
y = x + 7
a. x= 4, y= 11
b. x=2 , y= 3
c. x = 8, y= 3
d. x = 12, y= 5

Answer 1

To solve the system of linear equations y = 2x + 19 and y = x + 7, we can substitute the second equation into the first equation and solve for x. Then, substituting this value of x back into the second equation gives the value of y. The solution is x = -12, y = -5.

Step-by-step explanation:

To solve the system of linear equations:

y = 2x + 19

y = x + 7

We can substitute the second equation into the first equation:

x + 7 = 2x + 19

Subtracting x from both sides, we get:

7 = x + 19

Subtracting 19 from both sides, we get:

-12 = x

Substituting this value of x back into the second equation, we get:

y = -12 + 7

y = -5

Therefore, the solution to the system of linear equations is: x = -12, y = -5.