Question

Part 1: Explain, in complete sentences, how you would use the substitution method to solve the following system of equations. (4 points)

Part 2: Provide the solution to the system. (2 points)

x + 5y = 3
2x + 9y = 4

Answer 1

this time solve the first equation for \(x\) via \(x=3-5y\) then substitute \(3-5y\) for \(x\) in the second equation to get
\[2(3-5y)+9y=4\] or
\[6-10y+9y=4\]\[6-y=4\]\[-y=-2\]\[y=2\]

Answer 2

then substitute \(2\) for \(y\) in either equation to find \(x\)