Answer:
x = -4, y = 5
Step-by-step explanation:
1. What do you know?
You know y = x+9 so you are going to substitute that into the other equation 4x+7y = 19
2. Substitute
You are going to substitute in x+9 for y
4x + 7 (x+9) = 19
3. Simplify
You need to distribute 7 to 'x+9'
4x + 7x + (7*9) = 19
4x + 7x + 63 = 19
4. Combine like terms
Combine x's
11x + 63 = 19
5. Start to isolate the variable
To do this you need to subtract 63 on both sides
11x + 63 = 19
-63 -63
11x = -44
6. Isolate the variable
To do this you need to divide 11 on both sides
11x = -44
/11 /11
x = -4
7. Now that you have x you need to get y
Plug in 'x = -4' into y = x +9 to get the value of y
y = (-4) +9
y = 5
8. If you want to check your answer plug in y = 5 and x= -4 into both equations to see if it works
Hope this helps!
