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tangare [24]
2 years ago
6

Solve the system of linear equations by substitution.

Mathematics
1 answer:
yaroslaw [1]2 years ago
5 0

Answer:

x=5, y=2

Step-by-step explanation:

1) Subtract 2y from both sides of x+2y to get x=9-2y

2) Substitute x into the first equation to get 3(9-2y)-2y=11

3) Solve for y (y=2)

4) Plug y into either equation: x+2(2)=9 x=5

5) The answer is (5, 2)

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Solve y=x^2 + 7 for x
crimeas [40]
Hello! To solve for x means to isolate x:

y = x^2 + 7
y - 7 = x^2
sqrt(y - 7) = x

Answer:
x = sqrt(y - 7)

Hope this helps!
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3 years ago
What are the steps for solving, 7,542÷3
valina [46]

Answer:

2514

Step-by-step explanation:

Do the long division and you'll find the answer.

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In quadrilateral ABCD, m∢A = 80, m∢B = 2x, m∢C = x, and m∢D=4x. Find x.
valkas [14]

36 degree :

Step-by-step explanation:

if the value of angleA= x , angleB=2x , angle C=3x and angle D=4x . the value of x is 36 degree

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2 years ago
Evaluate the spherical coordinate integral
expeople1 [14]

Rewrite the equations of the given boundary lines:

<em>y</em> = -<em>x</em> + 1  ==>  <em>x</em> + <em>y</em> = 1

<em>y</em> = -<em>x</em> + 4  ==>  <em>x</em> + <em>y</em> = 4

<em>y</em> = 2<em>x</em> + 2  ==>  -2<em>x</em> + <em>y</em> = 2

<em>y</em> = 2<em>x</em> + 5  ==>  -2<em>x</em> + <em>y</em> = 5

This tells us the parallelogram in the <em>x</em>-<em>y</em> plane corresponds to the rectangle in the <em>u</em>-<em>v</em> plane with 1 ≤ <em>u</em> ≤ 4 and 2 ≤ <em>v</em> ≤ 5.

Compute the Jacobian determinant for this change of coordinates:

J=\begin{bmatrix}\frac{\partial u}{\partial x}&\frac{\partial u}{\partial y}\\\frac{\partial v}{\partial x}&\frac{\partial v}{\partial y}\end{bmatrix}=\begin{bmatrix}1&1\\-2&1\end{bmatrix}\implies|\det J|=3

Rewrite the integrand:

-3x+4y=-3\cdot\dfrac{u-v}3+4\cdot\dfrac{2u+v}3=\dfrac{5u+7v}3

The integral is then

\displaystyle\iint_R(-3x+4y)\,\mathrm dx\,\mathrm dy=3\iint_{R'}\frac{5u+7v}3\,\mathrm du\,\mathrm dv=\int_2^5\int_1^45u+7v\,\mathrm du\,\mathrm dv=\boxed{333}

5 0
3 years ago
Complete the sentence.<br> In the formula C=2r. C stands for
AleksAgata [21]

Answer:

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3 years ago
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