Question

Solve the system by substitution
2.5x-3y=-13
3.25x-y=-14

Answer 1

Use the second equation to make y the subject. Move y to the RHS while also moving -14 to the LHS. (LHS= Left Hand Side, RHS= Right Hand Side)
\[y= 3.25x + 14\]

In the first equation: Every time you see the pronumeral y, substitute it with (3.25x + 14)

\[2.5x - 3(3.25x+14) = -13\]
\[2.5x - 9.75x -42= -13\]
Move the x components to the RHS and the numbers to the LHS.
\[-42+13= 9.75x -2.5x\]
\[29=7.25x\]
\[x=\frac{ 29 }{ 7.25 }\]
\[x= 4\]

Answer 2

Thank you, again.

Answer 3

No worries.