Answer:
[tex]x=-9[/tex]
[tex]y=4[/tex]
Step-by-step explanation:
[tex]3x+10y=13[/tex] ← Equation 1
[tex]4(-2y+x)-9x=13\\[/tex]
By simplifying the above equation we get,
[tex]-8y+=4x-9x=13[/tex] (Simplifying the brackets)
[tex]-8y-5x=13[/tex] (By subtracting [tex]-9x[/tex] from [tex]+4x[/tex]) ← Equation 2
Multiply Equation 1 by 5 and Equation 2 by 3 and add them together.
Equation 1 multiplied by 5 will give,
[tex]15x+50y=65[/tex]
Equation 2 multiplied by 3 will give,
[tex]-24y-15x=39[/tex]
Add those together,
[tex]15x+50y-24y-15x=65+39[/tex]
[tex]26y=104[/tex] (After simplifying [tex]x[/tex] values)
Therefor [tex]y=4[/tex]
By substituting [tex]y=4[/tex] to Equation 1 we get,
[tex]3x+10*4=13[/tex][tex]3x+40=13\\3x=-27\\x=-9[/tex]
Therefor we can say,
[tex]x=-9[/tex]
[tex]y=4[/tex]
