Answer:
Step-by-step explanation:
Given
The inequality is
adding both side 7
Multiply both sides by
the shaded region in the figure indicates the solution set.
PLEASE HELP!!! Solving equations with substitution! I don't really know how to solve it.
2 answers:
<h2>Steps:</h2>
So with using the substitution method, to be able to do so you must have one of the equations isolated with one of the variables. In this case, we see that the first equation has the y variable isolated. Now with this, we are going to substitute y in the second equation for 2x since y = 2x:
From here, we can solve for x:
Since we have the x-value, substitute x for 1 into either equation to solve for y as such:
In short:
- x = 1
- y = 2
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Your answer is attached to the pic
<h2>Answer: y = - ¹/₂ x OR y - 1 = - ¹/₂ (x + 2) </h2><h3>Step-by-step explanation: </h3>
For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:
The question gives us two points, (-2, 1) and (-8, 4), from which we can find the slope and later the equation of the line.
<u>Finding the Slope </u>
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (4 - 1) ÷ (-8 - (-2))
= - ¹/₂
<u>Finding the Equation</u>
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - 1 = - ¹/₂ (x - (-2))
∴ y - 1 = - ¹/₂ (x + 2)
we could also transform this into the slope-intercept form ( y = mx + c)
since y - 1 = - ¹/₂ (x + 2)
⇒ y = - ¹/₂ x
<em>To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.</em>