Question

I have so much trouble with these please help ?

Answer 1

To solve this question using the addition/elimination method, follow the steps below.

Step 01: Multiply the first equation by 2.

`\begin{gathered} (5x-2y)\cdot2=3\cdot2 \\ 5x\cdot2-2y\cdot2=6 \\ 10x-4y=6 \end{gathered}`

Step 02: Add both equations to eliminate y.

`\begin{gathered} +10x-4y=6 \\ -3x+4y=1 \\ 7x+0=7 \\ 7x=7 \end{gathered}`

Step 03: Isolate x in the equation above.

To do it, divide both sides by 7.

`\begin{gathered} (7x)/(7)=(7)/(7) \\ 1x=1 \\ x=1 \end{gathered}`

Step 04: Choose one equation to substitute x by 1 and find y.

Choosing the first equation:

`\begin{gathered} 5x-2y=3 \\ 5\cdot1-2y=3 \\ 5-2y=3 \end{gathered}`

Subtracting 5 from both sides, then dividing both sides by -2:

`\begin{gathered} 5-2y-5=3-5 \\ -2y=-2 \\ (-2)/(-2)y=(-2)/(-2) \\ y=1 \end{gathered}`

Answer:

x = 1.

y = 1.