Answer:
y=12
Step-by-step explanation:
[tex]-5x+2y-1=3[/tex]
Solve for y. Add 1 to both sides:
[tex]-5x+2y-1+1=3+1\\-5x+2y=3+1\\-5x+2y=4[/tex]
Add 5x to both sides:
[tex]-5x+5x+2y=4+5x\\2y=4+5x\\2y=5x+4[/tex]
Divide both sides by 2 to isolate y:
[tex]\frac{2y}{2} =\frac{5x}{2}+\frac{4}{2}[/tex]
[tex]y=\frac{5x}{2} +2[/tex]
Insert the value of x=4 :
[tex]y=\frac{5(4)}{2}+2[/tex]
Simplify:
[tex]y=\frac{20}{2}+2[/tex]
[tex]y=10+2\\y=12[/tex]
Finito.
