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2 years ago

7

Which expression can you substitute in the indicated equation to solve the system of equations below?

1 answer:

Mama L [17]2 years ago

4 0

You can see almost immediately that the second equation, 3x + y = -2, can be solved for y: y = -3x - 2. (Answer A). This -3x - 2 can in turn be subbed for y in the first equation, 4x + 3y = 4. Doing so, we get 4x + 3(-3x - 2) = 4.

Carrying out the indicated opeations: 4x - 9x - 6 = 4, or -5x = 10. Thus,

x = -2. Find y using y = -3x - 2 (from above): y = -3(-2) - 2 = 4.

Thus, the solution is (-2,4). We were not asked to solve this system of equations, but doing so illustrates the helpfulness of elimination of variables in solving simultaneous equations.

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kiruha [24]

Answer:

Part A) $V(t)=-5,750t+101,250$

Part B) $\$55,250$

Step-by-step explanation:

Part A) Express the value of the bulldozer, V, as a function of how many years old it is, t.

Let

V ----> the value of the bulldozer (dependent variable or output value)

t ----> the number of years (independent variable or input value)

we know that

The linear function in slope intercept form is equal to

$V(t)=mt+b$

we have the ordered pairs

(0,101,250) and (15,15,000)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{15,000-101,250}{15-0}$

$m=-\$5,750\ per\ year$ ----> is negative because is a decreasing function

The value of b is the initial value

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$b=\$101,250$

substitute

$V(t)=-5,750t+101,250$

Part B) The value of the bulldozer after 8 years is

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substitute the value of t in the linear equation

$V(t)=-5,750(8)+101,250=\$55,250$

4 0

2 years ago