Question

What is the solution to this system of equations? 4x−3y=11 y=2x−7 Enter your answer by filling in the boxes. (_ , _)

a) (5, -3)
b) (4, -7)
c) (6, -5)
d) (-3, 4)

Answer 1

The solution to the system of equations 4x - 3y = 11 and y = 2x - 7 is (5, -3).

Step-by-step explanation:

To solve the system of equations 4x - 3y = 11 and y = 2x - 7, we need to substitute the value of y from the second equation into the first equation.

Using the value of y from the second equation, we have:

4x - 3(2x - 7) = 11

Simplifying the equation, we get:

4x - 6x + 21 = 11

Combining like terms, we have:

-2x + 21 = 11

Subtracting 21 from both sides, we get:

-2x = -10

Dividing both sides by -2, we find:

x = 5

Now, substituting the value of x back into the second equation, we can find the value of y:

y = 2(5) - 7

Simplifying the equation, we get:

y = 10 - 7

Therefore, the solution to the system of equations is (5, -3).