Answer:
x=5
y=0
Step-by-step explanation:
Let's solve the system of equations through elimination
Solving by elimination is when you add or subtract one equation by the other to eliminate one variable
In this case, adding 3x and -3x would cancel each other out so we should add the equations
[tex]-3x + 7y = -15\\+(3x + 5y = 15)\\0+12y=0\\12y=0[/tex]
Now solve for y
Divide both sides by 12 to isolate y
[tex]12y=0\\\\\frac{12y}{12} =\frac{0}{12} \\\\y=0[/tex]
Now sub in the value of y into one of the original equations and solve for x
[tex]3x+5y=15\\3x+5(0)=15\\3x=15\\[/tex]
Divide both sides by 3 to isolate x
[tex]\frac{3x}{3} =\frac{15}{3} \\x=5[/tex]
