Answer:
x = 2.2, y = 5.3
Step-by-step explanation:
This question is asking us to solve a system (find x and y). Because they give us that y = 1.5x + 2, then we can use this to substitute into the second equation.
9x + 4y = 41
9x + 4(1.5x + 2) = 41
Simplify.
9x + 6x + 8 = 41
15x + 8 = 41
Subtract 8 from both sides.
15x = 33
Divide both sides by 15.
x = 11/5 = 2.2
To find y, substitute x = 2.2
y = 1.5x + 2
y = 1.5 * 2.2 + 2
y = 3.3 + 2
y = 5.3
Now, we can double check to see if these two answers are right. Plug these numbers into the other equation (because to find y, we already used the first equation, so there is no need to check it, as it would just give us 5.3 = 5.3)
9x + 4y = 41
9 * 2.2 + 4 * 5.3 = 41
19.8 + 21.2 = 41
41 = 41
Thus, the answer is correct.
I hope this helps! Feel free to ask any questions!
