A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
The solution of the equation is (0,8)
A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
Given information-
The first equitation given in the problem is,
[tex]-5x+5y = 40[/tex]
Divide both side of the above equation with 5 as,
[tex]\dfrac{(-5x+5y )}{5}= \dfrac{40}{5}\\-x+y=8\\y=8+x[/tex] .......1
Let the above equation as equitation 1.
The first equitation given in the problem is,
[tex]4x+ 3y = 24[/tex]
Put the value of y form the equation 1 in the above equation as,
[tex]\begin{aligned}4x+ 3(x+8) &= 24\\4x+ 3x+24 &= 24\\4x+ 3x &= 24-24\\7x&=0\\x&=0\\\end[/tex]
Put the value of x in the equation one as,
[tex]y=8+0\\y=8[/tex]
Thus the solution of the equation is (0,8)
Learn more about the system of equations here;
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