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Salsk061 [2.6K]
1 year ago
5

Combine each pair of equations solve the combined equation 3j +14=-5z-10j=5z

Mathematics
1 answer:
ArbitrLikvidat [17]1 year ago
3 0

Given data:

The first equation is 3j +14=-5z.

The second equation is -10j=5z​ .

Add both the equations.

\begin{gathered} (3j+14)+(-10j)=-5z+5z \\ -7j+14=0 \\ 7j=14 \\ j=2 \end{gathered}

Substitute 2 for j in the first equation.

\begin{gathered} 3(2)+14=-5z \\ 20=-5z \\ z=-4 \end{gathered}

Thus, the value of j is 2 and z is -4.

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Step-by-step explanation:

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Verbal expression x to the third power times y to the 4th power???
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First;

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For Emily's birthday, her father treated her and five friends to a dinner at a restaurant at the mall. Emily and her friends ord
erma4kov [3.2K]

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$58.26.

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5 0
3 years ago
Which digit in 98.765 is in the thousandths place
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Have an awesome day! :)
6 0
3 years ago
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Solve the system y= -x + 7 and y=0.5(x - 3)^2
solniwko [45]

Answer:

(- 1, 8 ) and (5, 2 )

Step-by-step explanation:

Given the 2 equations

y = - x + 7 → (1)

y = 0.5(x - 3)² → (2)

Substitute y = 0.5(x - 3)² into (1)

0.5(x - 3 )² = - x + 7 ← expand and simplify left side

0.5(x² - 6x + 9) = - x + 7 ( multiply both sides by 2 )

x² - 6x + 9 = - 2x + 14 ( subtract - 2x + 14 from both sides )

x² - 4x - 5 = 0 ← in standard form

(x - 5)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

x + 1 = 0 ⇒ x = - 1

Substitute these values into (1) for corresponding values of y

x = 5 : y = - 5 + 7 = 2 ⇒ (5, 2 )

x = - 1 : y = 1 + 7 = 8 ⇒ (- 1, 8 )

8 0
3 years ago
Read 2 more answers
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