ANSWER:
(-5, 0.5) serves as a solution for the equations x – 4y = –7, 0.2x + 2y = 0.
SOLUTION:
We start with the two equations: x – 4y = -7 → (1)
And 0.2x + 2y = 0 → (2)
We will verify if (-5, 0.5) is a solution.
To do this, we will resolve both equations.
Let’s multiply equation (2) by 2 to facilitate the cancellation of y terms.
This transforms equation (2) into:
0.4x + 4y = 0 → (3)
Now, combine equations (1) and (3), leading to:
1.4x + 0 = -7
Next, input the x value into (2)
0.2(-5) + 2y = 0
-1 + 2y = 0
2y = 1
y = 0.5
Thus, the result for the equations is (-5, 0.5).
Therefore, (-5, 0.5) is the solution to the equations.