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MakcuM [25]
3 years ago
11

Use the substitution method to solve the following system of equations:

Mathematics
2 answers:
Ivenika [448]3 years ago
8 0
Using the first equation:
4x = y + 3   --->   y = 4x - 3
We then substitute this into the second equation:
7x - 9(4x-3) = -2   --->   7x - 9x + 27 = -2   --->   -2x = -29   --->   x = 14.5
yKpoI14uk [10]3 years ago
4 0

Answer:

x=1

y=1

Step-by-step explanation:

First step, we isolate one variable from one equation. Let's isolate y from the first equation:

4x-y=3\\-y = 3-4x\\-1*-y=-1*(3+4x)\\y=-3+4x

Next we substitute the y value in the second equation:

y=7x-9y = -2\\7x-9*(-3+4x)=-2\\7x+27-36x=-2\\-29x=-29\\x=1

Now, we replace the x value in the equation where y is isolated:

y=-3+4x\\y=-3+4*1

y=1

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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
hodyreva [135]

Answer:

If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable. If they are inversely proportional, an increase in the value of one variable would cause a corresponding decrease in the other variable.

Looking at the given values, as x is increasing, y is also increasing. The constant of proportionality is

9/3 = 27/9 = 3

Therefore, the relationship is a direct variation and the function to model it is

y = 3x

Step-by-step explanation:

3 0
2 years ago
Can anyone help me?
goldfiish [28.3K]

Given:

A right angle triangle ABC, right angled at C.

To find:

The measure of θ.

Solution:

In a right angle triangle,

\tan \theta=\dfrac{Opposite}{Adjacent}

In triangle ABC,

\tan \theta=\dfrac{AC}{BC}

\tan \theta=\dfrac{2.7}{5}

\tan \theta=0.54

It can be written as

\theta=\tan^{-1}0.54

\theta\approx 28.369

Therefore, the measure of θ is 28.369.

5 0
3 years ago
How do you solve 3x-15=7x-10
Fofino [41]

Answer:

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form: x=-45

x

=

−

5

4

Decimal Form:x=-1.25

x

=

−

1.25

Mixed Number Form:x=-14

x

=

−

1

1

4

5 0
2 years ago
Read 2 more answers
Solve. -1/2 + (3/4 x 4/9)
max2010maxim [7]
-0.16666666666 which equals -1/16.
4 0
3 years ago
Carla draws two rectangles.
Strike441 [17]

Answer:

A rectangle with a width of 5 inches and a length of 7 inches.

A rectangle with a width of 4 inches and a length of 6 inches

Step-by-step explanation:

8 0
3 years ago
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