Answer:
x = 6 and y = –5
Step-by-step explanation:
Given equations are –5y + 4x = 49 – – – (1)
7y + 2x = –23 – – – (2)
(1) ⇒ –5y + 4x = 49
4x = 49 + 5y
[tex]x=\frac{49+5 y}{4}[/tex]
Substitute [tex]x=\frac{49+5 y}{4}[/tex] in (2).
[tex]\begin{aligned}&7 y+2\left(\frac{49+5 y}{4}\right)=-23\\&\Rightarrow 7 y+\left(\frac{49+5 y}{2}\right)=-23\end{aligned}[/tex]
⇒ 14y+49+5y= –46
⇒ 19y = –95
⇒ y = –5
Substitute y = –5 in x.
[tex]x=\frac{49+5(-5)}{4}[/tex]
⇒x = [tex]\frac{24}{4}[/tex]
⇒ x = 6
Hence, x = 6 and y = –5.
