Question

How do you solve by substitution `3x + 2y = 11` and `x - 2 = -4y`?

Answer 1

`(4,-1/2)`

Explanation:

`3x+2y=11 and x-2 =-4y`
Step 1:Choose an equation `x-2 =-4y`
Step 2: Isolate a variable `x =-4y +2`
Step 3: Substitute `-4y +2` for `x` in the other equation
`3(-4y+2)+2y=11`
Step 4:Distribute `-12y+6+2y=11`
Step 5:Simplify `-10y=5`
Step 6: Find `y` value `y=-1/2`
Step 7: Plug y value back into any equation `x-2 =-4(-1/2)`
Step 8:Solve for "x " `x=4`