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3 years ago

Y-3x=2 y=-2x-8 how do i solve this by substitution

2 answers:

3 0

$\left \{ {{y-3x=2} \atop {y=-2x-8}} \right. \\\\Substitute\ second\ equation
 to\ first:\\\\-2x-8-3x=2\\-2x-3x=2+8\\-5x=10\ \ \ \ \ \ |:-5\\x=-2\\\\y=-2\cdot(-2)-8\\y=4-8\\y=-4\\\\ \left \{ {{y=-4} \atop {x=-2}} \right.$

kupik [55]3 years ago

3 0

Y-3x=2
y=-2x-8
-2x-8-3x=2
-5x-8=2 add 8 from both side
-5x=10 divided -5 both side
x=-2

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san4es73 [151]

We are given,

$\longrightarrow 0.2(10 - 5c) = 5c - 16$

Solving the parenthesis

${ \longrightarrow 0.2 \times 10 - 0.2 \times 5c = 5c - 16 }$

${ \longrightarrow 2 - 1c = 5c - 16 }$

${ \longrightarrow 2 + 16 = 5c + 1c }$

${ \longrightarrow 18 = 6c }$

Dividing both sides by 6

${ \longrightarrow 3 = c }$

Hence c = 3.

8 0

3 years ago

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kondor19780726 [428]

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8 0

3 years ago

PLEASE HELP ASAP THERE ARE 20 POINTS ON THE LINE! Sierra has to pay 7% taxes on her purchase at IKEA. If the tax is $38.36, what

Dominik [7]

Answer:

$31.36

Step-by-step explanation:

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6 0

3 years ago

The table below shows the results of a random sample of 160 teenagers. Based on the information given which of the following sta

Karolina [17]

Answer:

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7 0

3 years ago

Read 2 more answers

The path of a football kicked by a field goal kicker can be modeled by the equation y = –0.03x2 + 1.53x, where x is the horizont

netineya [11]

This is the equation of an upside down parabola, so the maximum height will be at the vertex. To find the vertex, we'll use the formula for the x-coordinate and then solve for the y-coordinate.
$x=\frac{-1.53}{2*-.03}=25.5$

Plugging this into the given formula:
$y=-0.03(25.5)^2+1.53(25.5)=19.5075$
Since it asks us to round, the maximum height would be 20 yards. To find how far the football travels in total, we need to set the equation equal to 0 and find the roots:
$0=-0.03x^2+1.53x=x(-0.03x+1.53)$

Then by the zero product property (or the no zero divisors rule), we have:
$x=0$ (this is the x value where the ball is kicked from)
$-0.03x+1.53=0$
$-0.03x=-1.53$
$x=51$

So the ball travels 51 yards in total.

4 0

3 years ago

Read 2 more answers