Question

Solve for for x and y using substitution method :
2x +y = 7
4x -3y = -1
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Answer 1

$\bf \huge ☯A \blue n \green s \orange w \pink er$

Given equation is:

2x+y=7

For x = - 1, we get

−2+y=7

⇒y=9

∴ (-1, 9) is a solution.

For x = 0, we get

⇒0+y=7

⇒y=7

∴ (0, 7) is a solution.

For x = 1, we get

⇒2+y=7

⇒y=5

∴ (1, 5) is a solution.

For x = 2, we get

⇒4+y=7

⇒y=3

∴ (2, 3) is a solution.

Hence, we have four solution (−1,9),(0,7),(1,5)and(2,3)

Answer 2

$\huge{\red{\mathtt{\underline{Answer:}}}}$

—» $\mathtt{2x + y = 7\:\:\:------\:(1)}$

—» $\mathtt{4x-3y=-1\:\:\:------\:(2)}$

$\mathtt{\boxed{\blue{Multiply\:by\:2\:to\:eqñ\:( 1 ).}}}$

—» $\mathtt{4x + 2y = 14 \:\:\:------\:(3)}$

$\mathtt{\boxed{\blue{Subtract\:eqñ \:( 2 ) \:from \:( 3 ) .}}}$

—» $\mathtt{5y=15}$

—» $\mathtt{y=\frac{15}{5}}$

—» $\mathtt{y=3}$

$\mathtt{\boxed{\blue{Put\: value\: of \:y \:in \:eqñ\: ( 1 ) .}}}$

—» $\mathtt{2x + 3 = 7}$

—» $\mathtt{2x = 4}$

—» $\mathtt{x = 2}$