[tex]\huge{ \mathfrak{ \underline{ Answer \: \: ✓ }}}[/tex]
The equations are :
-3x + 4y = 7. - [1]
2x + y = -1 - [2]
[tex] \underline{ \underline{ \bf{step} - 1}}[/tex]
multiply equation [2] with 4
[tex] \longrightarrow(2x + y = -1 ) \times 4[/tex]
[tex] \longrightarrow8x + 4y = - 4[/tex]
[tex] \underline{ \underline{ \bf{step} -2}}[/tex]
subtract equation [1] from [2]
[tex] \longrightarrow8x + 4y - ( - 3x + 4y) = - 4 - 7[/tex]
[tex] \longrightarrow8x + 4y + 3x - 4y = - 11[/tex]
[tex] \longrightarrow11x = - 11[/tex]
[tex] \longrightarrow \: x = - 1[/tex]
[tex] \underline{ \underline{ \bf{step} - 3}}[/tex]
plugging the value of x in equation [1]
[tex] \longrightarrow- 3x + 4y = 7[/tex]
[tex]\longrightarrow - (3 \times - 1) + 4y = 7[/tex]
[tex]\longrightarrow3 + 4y = 7[/tex]
[tex]\longrightarrow4y = 4[/tex]
[tex]\longrightarrow \: y = 1[/tex]
[tex] \#TeeNForeveR[/tex]
