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Nimfa-mama [501]
3 years ago
6

Solve by the linear combination method (with or without multiplication).

Mathematics
1 answer:
Dima020 [189]3 years ago
5 0

The first step is to name the equations to make the process of solving them easy.

6x+7y=-4....(1)\\5x-3y=-21....(2)

The second step is to multiply  each of the equations by the coefficient of the x term in the other equation. In this case, we will multiply equation  (1) by 5 to get equation (3) and then multiply equation (2) by 6 to get equation (4).

-30x-35y=20...(3)\\30x-18y=-126...(4).

The next step is to add equation equation(3) and  (4) together to get equation (5) as shown below;

-53y=-106....(5)\\=> y= 2.

The next step is to take the value of y and substitute it into any of the equations above.  For this solution, I pick equation (1). The work done to solve for x is shown below.;

6x+7y=-4\\=>6x+7(2)=-4\\=>6x=-18\\=>x=-3

The solution for this system of equations is (-3,2)


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Answer:

y=2.5x

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You already know that the cost for 1 book is $2.50, which is also the rate of change. So you just basically multiply 2.50 by 5 to get 12.50.

4 0
3 years ago
Find a • b. u = <8,7>, v=<9,7>
drek231 [11]

Answer:

\large\boxed{\vec{u}\circ\vec{v}=121}

Step-by-step explanation:

\vec{a}=,\ \vec{b}=\\\\\vec{a}\circ\vec{b}=x_ax_b+y_ay_b\\\\====================================\\\\\vec{u}=,\ \vec{v}=\\\\\vec{u}\circ\vec{v}=(8)(9)+(7)(7)=72+49=121

7 0
3 years ago
Which is the slope of the line that passes through the points (−3,1) and (4,−2)?
dimaraw [331]

Answer:

The slope of the line is -\frac{3}{7} ⇒ B

Step-by-step explanation:

Let us revise the rule of the slope

The rule of the slope of the line is m = \frac{y2-y1}{x2-x1} , where

  • (x1, y1) and (x2, y2) are two points lie on the line

∵ The line passes through the point (-3, 1) and point (4, -2)

→ That means one of them is (x1, y1) and the other is (x2, y2)

∴ x1 = -3 and y1 = 1

∴ x2 = 4 and y2 = -2

→ Substitute them in the rule of the slope above to find it

∵ m = \frac{-2-1}{4--3} = \frac{-3}{4+3}

∴ m = -\frac{3}{7}

∴ The slope of the line is -\frac{3}{7}

4 0
3 years ago
Write the expression 6a - 2 (a - 1)
ehidna [41]
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5 0
3 years ago
Neglecting air​ resistance, the distance s(t) in feet traveled by a freely falling object is given by the function s(t)=16t squa
marta [7]

Answer: t = 7.85seconds

Step-by-step explanation:

Given that :

Height of tower = 986 Feets

Function s(t) = 16t^2

To find the time t 8 in Seconds taken for an object to fall to the ground from the top of the​ building

16t^2 = 986

t^2 = 986/16

t ^2 = 61.625

Take the square root of both sides

t = sqrt(61.625)

t = 7.85seconds

4 0
3 years ago
Read 2 more answers
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