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sattari [20]
4 years ago
10

The solution for the following system of equations is shown on the graph. What is the solution?

Mathematics
1 answer:
Bingel [31]4 years ago
5 0

The solution is (3 , 4) ⇒ 2nd answer

Step-by-step explanation:

The system of equations can be solved by:

  • Elimination method
  • Substitution method

The system of equations is:

y = 3 x - 5 ⇒ (1)

y = \frac{1}{3} x + 3 ⇒ (2)

By using the substitution method substitute y in equation (2) by equation (1)

3 x - 5 =  \frac{1}{3} x + 3

Subtract  \frac{1}{3} x from both sides

\frac{8}{3} x = 8

Divide both sides by \frac{8}{3}

x = 3

substitute x by 3 in equation (1)

y = 3(3) - 5

y = 9 - 5

y = 4

The solution is (3 , 4)

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

#LearnwithBrainly

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What is the slope of a line perpendicular to the line whose equation is 2x+2y=28
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Step-by-step explanation:

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So, the equation of the line in slope-intercept form is y = -x + 14. When an equation is in slope-intercept form, the m, or the coefficient of the x-term, represents the slope. Thus, the slope for the given line would be -1.

2) Lines that are perpendicular have slopes that are opposite reciprocals of each other. We need to find the opposite reciprocal of -1, then.

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2 years ago
CAN SOMEONE PLEASE ANSWER THIS SOON! THANK YOU!
lyudmila [28]

We want to find one-half of the reciprocal of 7/sqrt(98). Let's write down an expression for this:

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We can rewrite 98 into 2 \times 49

\dfrac{1}{2} \times \dfrac{\sqrt{2 \times 49}}{7}

=\dfrac{1}{2} \times \dfrac{\sqrt{2} \times \sqrt{49}}{7}

The square root of 49 is 7

=\dfrac{1}{2} \times \dfrac{\sqrt{2} \times 7}{7}

=\dfrac{1}{2} \times\sqrt{2}

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This should be your answer. Let me know if you need any clarifications, thanks!

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