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irinina [24]
3 years ago
15

Hello, I need help solving the system of equations by substitution method.

Mathematics
2 answers:
Llana [10]3 years ago
8 0
4x + 2y = 108
x = -5y

4(-5y) + 2y = 108
-20y + 2y = 108
<u>-18x</u> = <u>108</u>
 -18     -18
     x = 6
4(6) + 2y = 108
  24 + 2y = 108
<u>- 24           - 24</u>
           <u>2y</u> = <u>84</u>
            2      2
             y = 41
        (x, y) = (6, 41)
mash [69]3 years ago
5 0
4(-5y) + 2y = 180

-20y + 2y = 180

-18y = 180

y = -10
x = 50
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17-5(2x-9)=-(-6x+10)+4
MrRa [10]
17 - 5(2x - 9) = -(-6x + 10) + 4

On the right side of the equation, there is a negative sign infront of the parentheses. This means that you are multiplying the parentheses by -1.

17 - 5(2x - 9) = (6x -10) + 4

The 6x is positive because a negative times a negative is positive. The 10 is negative because a negative times a positive is a negative. Now, combine the like terms on the right side of the equation by adding -10 and 4 together.

17 - 5(2x - 9) = 6x - 6

Now that you have simplified the right side of the equation, move to the left side. Start with multiplying 5 times (2x - 9) using the distributive property.

17 - (10x - 45) = 6x - 6

After that, combine the like terms by subtracting -45 from 17. Because you would be doing 17 - -45, you would change all signs because when you subtract with negatives, you have to change the signs. Due to the change of the signs, you are just adding 17 and 45 together.

62 + 10x = 6x - 6

Now, you need to get the x's on one side and the whole numbers on the other side. Begin by subtracting 6x from both sides.

62 + 10x = 6x - 6
         -6x    -6x
62 + 4x = -6

Now, subtract 62 from negative 6. Remember to change the signs. You will end up with -6 + -62.

4x = -68

Finally, divide both sides by 4.
<u>4x</u> = <u>-68
</u>4        4
x = 17

Final Answer: x = -17














3 0
4 years ago
Read 2 more answers
What times what equals = 98?
ira [324]
98/2 = 49

Therefore, 

49*2 = 98

Final answer: 49 times 2 equals 98
4 0
3 years ago
Read 2 more answers
Using the distributive property simplify the expression <br> -3(x - 2) + 4
S_A_V [24]

Answer:

-3x+10

Step-by-step explanation:

-3(x - 2) + 4

Using the distributive property:

-3*x-3*(-2)+4

we have:

-3x+6+4

-3x+10

8 0
3 years ago
Read 2 more answers
22. f(x) is stretched horizontally by a factor of 2 and reflected across the x-axis. Which choice shows the correct representati
goblinko [34]

Answer:

A. -f(1/2 x)

Step-by-step explanation:

Reflextion about the x-axis is

f(x) -> -f(x)

and horizontal dilation is

f(x) -> f(-x/b) where b is the factor of dilation.

so the proper answwer is

A. -f(1/2 x)

6 0
3 years ago
What is the area of the figure?
Andreyy89

Answer:

88 \:  {in}^{2}

Step-by-step explanation:

Area of the figure = Area of rectangle with dimensions 16 in and 4 in + Area of two right triangles with base (7 - 4 = 3) 3 in and height 8 in

= 16 \times 4 + 2 \times  \frac{1}{2}  \times 3 \times 8 \\  \\  = 64 + 24 \\  \\  = 88 \:  {in}^{2}

7 0
3 years ago
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