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SVEN [57.7K]
3 years ago
8

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 equatio

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

Mathematics
2 answers:
Andrei [34K]3 years ago
6 0

Answer:

(–4.5, 4.25)

Step-by-step explanation:

Anestetic [448]3 years ago
4 0

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 <u>system</u> of <u>linear equations</u> 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<u> solution</u> is the point (-4.5,4.25)

Using a <u>graphing</u> tool

see the attached figure

therefore

the answer is the option A

(-4.5,4.25)


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This is a linear relationship. The slope-intercept form of the linear equation is:

y=mx+c

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Changing variables to w instead of y and t instead of x, gives us,

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There is no viable solution when t=30 because at t=20, w=0 (0=50-2.5(20)). It means after 20 minutes, there is no water left. So t=30 minutes doesn't make sense.


ANSWER:

Modelling equation: w=50-2.5t

When t=30, there is no VIABLE solution

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Simple interest is the interest applied on the principal value after charging some certain percentage of rate for some certain amount of time.

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