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Rus_ich [418]
2 years ago
10

dle" class="latex-formula">
Find the gradient of the linear relation
Mathematics
2 answers:
vladimir1956 [14]2 years ago
8 0
  • 3y-5x=10

Isolate y

  • 3y=5x+10
  • y=5/3x+10/3

Compare to slope intercept form y=mx+b

Slope=m=5/3

kompoz [17]2 years ago
7 0

Answer:

\dfrac{5}{3}

Step-by-step explanation:

To find the gradient (slope) of the given <u>linear relation</u>, use <u>arithmetic operations</u> to isolate y:

Given relation:

3y-5x=10

Add 5x to both sides:

\implies 3y-5x+5x=10+5x

\implies 3y=5x+10

Divide both sides by 3:

\implies \dfrac{3y}{3}=\dfrac{5}{3}x+\dfrac{10}{3}

\implies y=\dfrac{5}{3}x+\dfrac{10}{3}

<u>Slope-intercept form of a linear equation</u>

y = mx+b

where:

  • m is the slope (gradient)
  • b is the y-intercept

Comparing the rewritten equation with the slope-intercept formula, the gradient (slope) of the given linear relation is ⁵/₃.

Learn more about linear equations here:

brainly.com/question/27317293

brainly.com/question/27781455

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tiny-mole [99]

Answer:

x=2

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UB: 3

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Step-by-step explanation:

4x-1+2x-1=5x

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For relatively simple math problems, the problem statement usually gives a context and asks a question. The context will generally tell you the nature of the relationships that apply. The question will generally be answered by making use of the relationships to relate given information to requested information.

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Often, you can work a problem a number of ways, so the information that is missing depends on the method you choose for working the problem.

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