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Crazy boy [7]
3 years ago
6

Solve the following system of equations by substation.

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
7 0

Answer:

C. (-1, 3)

Step-by-step explanation:

Label the 2 equations:

5y= 7x +22 -----(1)

x= -6y +17 -----(2)

Substitute (2) into (1):

5y= 7(-6y +17) +22

5y= -42y +119 +22 <em>(</em><em>Expand</em><em> </em><em>bracket</em><em>)</em>

5y= -42y +141 <em>(</em><em>Simplify</em><em>)</em>

42y +5y= 141 <em>(</em><em>+</em><em>42y</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

47y= 141

y= 141 ÷47 <em>(</em><em>÷</em><em>4</em><em>7</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

y= 3

Substitute y= 3 into (2):

x= -6(3) +17

x= -18 +17

x= -1

Thus, the solution is (-1, 3).

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makkiz [27]

The greatest common factor of all the coefficients is of 8.

<h3>What is the greatest common factor?</h3>

The greatest common factor between multiple terms is the largest value for which all terms are divisible.

In this problem, the equation is:

h(x) = -16x^2 + 56x + 96

The terms are 16, 56 and 96. Hence, to find the gcf, we have to keep factoring them by prime factors while all can be factored by the same value, hence:

16 - 56 - 96|2

8 - 28 - 48|2

4 - 14 - 24|2

1 - 7 - 12

There are no terms by which both 7 and 12 are divisible, hence the procedure is stopped and:

gcf(16, 56, 96) = 2³ = 8.

You can learn more about the greatest common factor at brainly.com/question/26140769

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faust18 [17]
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Convert 3/5 into a fraction with a denominator of 20:<br> 06/20<br> O 12/20<br> 5/20<br> 3/20
Yanka [14]
The correct answer is 12/20.

If you multiply the numerator and the denominator of 3/5 by 4/4:

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Therefore, the equivalent of 3/5 is 12/20.

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Write the equation of the line that is parallel to y=-0.75x and that passes through the point (8,0)
Mila [183]

Equation of line parallel to y = -0.75x that passes through (8,0) is: y = -0.75x-6

Step-by-step explanation:

Given equation of line is:

y=-0.75x

The coefficient of x is the slope of the line so the slope of given line is: -0.75

As parallel lines have equal slopes so the required equation of line will have the same slope.

The slope-intercept form is:

y = mx+b

Putting the value of the slope

y = -0.75x+b

To find the value of b, putting the point in the equation

0 = -0.75(8)+b\\0 = -6+b\\b = 6

Putting the values of m and b, we get

y = -0.75x-6

Hence,

Equation of line parallel to y = -0.75x that passes through (8,0) is: y = -0.75x-6

Keywords: Equation of line, Slope-intercept form

Learn more about equation of line at:

  • brainly.com/question/10435816
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