Question

NEED HELP FOR 50 points and possible brainliest if the answer is legitimate.
YOU BE THE TEACHER Your friend solves the system of linear equations below. Is your friend correct? y=0.5x+1 Equation 1 y=-x+7.

The photo attatched may be more useful. Please graph it as well!

Answer 1

To answer whether or not the friend is correct, we must solve the system of equations. This can be done by setting the expressions equal to each other:

0.5x + 1 = -x + 7

Next, we combine like terms:

0.5x + 1 = -x + 7 ⇒ 1.5x = 6

Finally, divide by the coefficient (1.5):
6 ÷ 1.5 = 4

Hence, x = 4 is the solution. Your friend is correct.

Answer 2

Answer:

Yes, my friend is correct.

Step-by-step explanation:

To verify if my friend's solution is correct, we can substitute the value of $\sf x = 4$ into both equations and check if the resulting $\sf y$ values satisfy the system of equations:

Equation 1:

$\sf y = 0.5x + 1$

Substitute x = 4.

$\sf y = 0.5(4) + 1 = 2 + 1 = 3$

Equation 2:

$\sf y = -x + 7$

Substitute x = 4.

$\sf y = -(4) + 7 = 3$

The solution $\sf (x = 4, y = 3)$ satisfies both equations. Therefore, my friend is correct. The system of linear equations is satisfied when $\sf x = 4$.