What do you think id the right answer?
<span><span><span><span>2x</span>+<span>3y</span></span>=1</span>;<span><span>x+<span>4y</span></span>=<span>−2
</span></span></span>Steps:
<span>Multiply the second equation by -2, then add the equations together.
</span><span>(<span><span><span>2x</span>+<span>3y</span></span>=1</span>)
</span><span><span>−2</span><span>(<span><span>x+<span>4y</span></span>=<span>−2</span></span>)
</span></span>Becomes:
<span><span><span>2x</span>+<span>3y</span></span>=1
</span><span><span><span>−<span>2x</span></span>−<span>8y</span></span>=4
</span>Add these equations to eliminate x:
<span><span>−<span>5y</span></span>=5
</span>Then solve<span><span>−<span>5y</span></span>=5</span>for y:
<span><span><span>−<span>5y</span></span><span>−5</span></span>=<span>5<span>−5</span></span></span>(Divide both sides by -5)
<span>y=<span>−1
</span></span>Now that we've found y let's plug it back in to solve for x.
Write down an original equation:
<span><span><span>2x</span>+<span>3y</span></span>=1
</span>Substitute<span>−1</span>foryin<span><span><span><span>2x</span>+<span>3y</span></span>=1</span>:
</span><span><span><span>2x</span>+<span><span>(3)</span><span>(<span>−1</span>)</span></span></span>=1
</span><span><span><span>2x</span>−3</span>=1</span>(Simplify both sides of the equation)
<span><span><span><span>2x</span>−3</span>+3</span>=<span>1+3</span></span>(Add 3 to both sides)
<span><span>2x</span>=4
</span><span><span><span>2x</span>2</span>=<span>42</span></span>(Divide both sides by 2)
<span>x=2
</span>Answer:
<span><span>x=<span><span>2<span> and </span></span>y</span></span>=<span>−<span>1
</span></span></span>
The endpoints of bar(AB) have coordinates are A(9, 8) and B(-1, -2), so the midpoint is simply the average of x- component of both coordinates and the average of y- component of both coordinates.
A=(x₁, y₁)=(9, 8)
B=(x₂, y₂)=(-1, -2)
The midpoint formula is given below;
is the midpoint of bar(AB).
Replace the x in the expression by 0 and work it out:-
y-intercept = 2 (0)^2 - 7(0) + 9 = 9
Answer is option (4).
Answer:
Step-by-step explanation:
Harvey rides his bike at an average speed of 12 miles in 1 hour, 24 miles in 2 hours, and so on. Let h be the number of hours he rides and d be distance traveled. Write the equation for the relationship between distance and time in point-slope form.
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You have three points relating time and distance:
(1,12),(2,24),(3,36)
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The slope for your equation would be (24-12)/(2-1) = 12/1 = 12
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The intercept is the distance you would travel in no time; that would be zero.
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The equation is: distance = 12(time)
d = 12t
