Chapter 7 solving systems of linear equations and inequalities answers

Asked by admin @ in Mathematics viewed by 308 People

Solve the system of linear equations by graphing. y = –5/2 x – 7 x + 2y = 4 What is the solution to the system of linear equations?

A(–4.5, 4.25)
B(–1.7, –2.8)
C(0, –7)
D(3, 0.5)

Answered by admin @


Keywords

system; linear equations; graphing; solution

we have

y=-\frac{5}{2}x-7 -------> equation A

x+2y=4

x=4-2y ----> equation B

The system of linear equations is composed of equation A and equation B

Substitute the equation B in equation A

y=-\frac{5}{2}[4-2y]-7

y=-10+5y-7

4y=17

y=17/4=4.25

Find the value of x

x=4-2[17/4]=-4.5

The solution is the point (-4.5,4.25)

Using a graphing tool

see the attached figure

therefore

the answer is the option A

(-4.5,4.25)




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