Note: Determine whether the solution to the new equation is a solution to the old system of equations by graphing. Use Desmos! (1 point) The solution to the original system of equations a solution to the new equation. Question 3 Solve the system of equations by SUBSTITUTION. 6y+5x=8 x+3y=−7 (1 point) What would your equation look like after the first substitution? 6(-3y-7)+5x=8 Skip to navigation
To solve the system of equations by substitution, we need to solve one of the equations for one variable and substitute it into the other equation.
Let's solve the second equation for x:
x + 3y = -7
Subtract 3y from both sides:
x = -7 - 3y
Now we can substitute this expression for x in the first equation:
6y + 5x = 8
6y + 5(-7 - 3y) = 8
Simplifying this equation, we get:
6y - 35 - 15y = 8
Combine like terms:
-9y - 35 = 8
Add 35 to both sides:
-9y = 43
Divide both sides by -9:
y = -43/9
The first solution for y is y = -43/9.