Question

Solve the following linear system through substitution

x/2 = 5-7 and x+y = 7
Option 1: x = 0, y = 7
Option 2: x = -2, y = 9
Option 3: x = -1, y = 8
Option 4: x = 1, y = 6

Answer 1

To solve the linear system through substitution, we can start by solving the first equation for x. Then, we can substitute this value of x into the second equation and solve for y. The solution to the linear system is x = -4 and y = 11.

Step-by-step explanation:

To solve the linear system through substitution, we can start by solving the first equation for x:

x/2 = 5-7

Multiplying both sides of the equation by 2 gives us:

x = 2(5-7)

Next, we can substitute this value of x into the second equation:

(2(5-7)) + y = 7

Simplifying,

(10-14) + y = 7

-4 + y = 7

Adding 4 to both sides of the equation gives us:

y = 11

Therefore, the solution to the linear system is x = -4 and y = 11.