Question

Solve for x and y.

2x + 5y = 8
4x + 3y = 2
Ax = 2, y = -2
Bx = 1, y = 2
Cx = -1, y = 2
Dx = -2, y =
4

Answer 1

c

Explanation:

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Answer 2

C) x = -1, y = 2

Explanation:

Given system of linear equations:

`\begin{cases}2x + 5y = 8\\4x + 3y = 2\end{cases}`

Multiply the first equation by -2:

`\implies -2 \cdot 2x -2 \cdot 5y=-2 \cdot 8`

`\implies -4x-10y=-16`

Add this to the second equation to eliminate x:

`\begin{array}{crcrcr}& 4x & + & 3y & = & 2\\+&(-4x & - &10y&=&-16\\\cline{2-6}&&-&7y&=&-14\end{array}`

Solve for y:

`\implies -7y=-14`

`\implies (-7y)/(-7)=(-14)/(-7)`

`\implies y=2`

Substitute the found value of y into one of the equations and solve for x:

`\implies 2x+5(2)=8`

`\implies 2x+10=8`

`\implies 2x=-2`

`\implies x=-1`

Therefore the solution to the given system of linear equations is:

• x = -1, y = 2