Solve by Substitution
{
x
+
4
y
=
5
5
x
+
2
y
=
−
29
\displaystyle {\left\lbrace\begin{array}{ccccc} {x}&+&{4}{y}&=&{5}\\{5}{x}&+&{2}{y}&=&-{29}\end{array}\right.}
{
x
5
x
+
+
4
y
2
y
=
=
5
−
29
One solution:
No solution
Infinite number of solutions
Hint: Start by solving the first equation for x.
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