Since x=-3y+5, substitute x for -3y+5.
2(-3y+5)+8y=4
Distribute.
-6y+10+8y= 4
2y+10= 4
Subtract 10 on both sides.
2y=-6
Divide by 2.
y=-3
Plug in y=-3.
x=-3(-3)+5
x= 9+5
x=14
(14,-3)
We can check this.
2(14)+8(-3)=4
28-24=4
4=4 <== this works
I hope this helps!
~kaikers
Slope-intercept form: y = mx + b
m = the slope
b = y-intercept.
In this problem,
m = 3/5
b = ?
So far y = 3/5x + b
Let's plug the point (-3, -1) into our slope equation.
-1 = 3/5(-3) + b
Simplify the right side.
-1 = -9/5 + b
Add 9/5 to both sides.
4/5 = b
The equation is: y = 3/5x + 4/5
Answer choice A is correct.
