Question

If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to x from the second equation is substituted into the first equation.
4x – 3y = –6
–x – 5y = –9

Answer 1

choices are:

Answer 2

4(–5y + 9) – 3y = –6

4(5y – 9) – 3y = –6

4x – 3(–5y + 9) = –6

4x – 3(5y – 9) = –6

Answer 3

System of Equations?

4x – 3y = –6
–x – 5y = –9

x=(3y+6)/4
>> x=5y+9
y=(4x+6)/3
y=(-x+9)/5

4(5y+9) - 3y = -6

Answer 4

Of course, I might have gotten it wrong somewhere...
-x = 5y+9
x = -5y+9
4(-5y+9) - 3y = -6

Answer 5

25x + 10y = 195
substitute eq(1) into eq(2):
25x + 10(15 - x) = 195
25x + 150 - 10x = 195
15x = 45
x = 3 quarters
substitute into eq(1):
y = 15 - 3
y = 12 dimes
Check using eq(2):
25(3) + 10(12) = 195
75 + 120 = 195

Answer 6

thank you for showing the steps! it's good to know how to do it so im better next time

Answer 7

wrong question kelly haha