The solution of the equation 7x + 4y = – 8 and 8x + 5y = –13 will be (4, –9).
A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The solution of the equation means the value of the unknown or variable.
The system of the equation is given below.
7x + 4y = – 8 …1
8x + 5y = –13 …2
Multiply equation 1 by 5 and equation 2 by 4. Then subtract the equation 1 from 2, then we have
32x – 35x = –52 – (–40)
–3x = –12
x = 4
Substitute the value of x in equation 1, then the value of y will be
7(4) + 4y = – 8
28 + 4y = –8
4y = –36
y = –9
The solution of the equation 7x + 4y = – 8 and 8x + 5y = –13 will be (4, –9).
More about the solution of the equation link is given below.
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