[tex]5x+14y=-5[/tex] Equation 1
[tex]-3x +10 y = 72[/tex] Equation 2
Rearrange Equation 1 to make x the subject
[tex]5x+14y=-5[/tex]
[tex]5x=-5-14y[/tex]
[tex]x=-1-\frac{14}{5}y[/tex] Equation 3
Rearrange Equation 2 to make y the subject
[tex]-3x +10 y = 72[/tex]
[tex]10y=72+3x[/tex]
[tex]y=\frac{72}{10} +\frac{3}{10}x[/tex] Equation 4
Substitute Equation 3 into 4
[tex]y=\frac{72}{10} +\frac{3}{10}(-1-\frac{14}{5}y)[/tex]
[tex]y=\frac{72}{10} -\frac{3}{10} -\frac{21}{25} y[/tex]
[tex]y+\frac{21}{25} y=\frac{72}{10} -\frac{3}{10}[/tex]
[tex]\frac{46}{25} y=\frac{69}{10}[/tex]
[tex]y= 3\frac{3}{4}[/tex] Equation 5
Substitute Equation 5 into 3
[tex]x=-1-\frac{14}{5}(3\frac{3}{4} )[/tex]
[tex]x=-1-\frac{21}{2}[/tex]
[tex]x=-\frac{23}{2}[/tex]
[tex]x =-11\frac{1}{2}[/tex]
Answer:
[tex]x =-11\frac{1}{2}[/tex]
[tex]y= 3\frac{3}{4}[/tex]
