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2 years ago

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:

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3 years ago

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

valkas [14]

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2 years ago

Evaluate the spherical coordinate integral

expeople1 [14]

Rewrite the equations of the given boundary lines:

y = -x + 1 ==> x + y = 1

y = -x + 4 ==> x + y = 4

y = 2x + 2 ==> -2x + y = 2

y = 2x + 5 ==> -2x + y = 5

This tells us the parallelogram in the x-y plane corresponds to the rectangle in the u-v plane with 1 ≤ u ≤ 4 and 2 ≤ v ≤ 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

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

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3 years ago

Complete the sentence. In the formula C=2r. C stands for

AleksAgata [21]

Answer:

Circumference

3 0

3 years ago

Read 2 more answers