What does z equal in 4z+5=-3z-8

1 answer:

4 0

The first step to solve this equation is to move the variable to the left side of the equation and change its sign
4z + 3z + 5 = -8
Move the constant to the right side of the equation and change its sign
4z + 3z = -8 - 5
Collect the like terms on the left side of the equation
7z = -8 - 5
Calculate the difference
7z = -13
Lastly,, divide both sides of the equation by 7 to find out what z is
z = - $\frac{13}{7}$
This means that z in your equation is - $\frac{13}{7}$ ,, or 1 $\frac{6}{7}$ when simplified.
Let me know if you have any further questions
:)

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Complete the equation of the line through (3,-8)(3,−8)left parenthesis, 3, comma, minus, 8, right parenthesis and (6,-4)(6,−4

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$(3;-8)\rightarrow x=3;\ y=-8;\ (6;-4)\rightarrow x=6;\ y=-4$

$substitute:\\\\ \left\{\begin{array}{ccc}-8=3m+b\\-4=6m+b&|\cdot(-1)\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-8=3m+b\\4=-6m-b\end{array}\right}\ \ \ |add\ both\ sides\\.\ \ \ \ -4=-3m\ \ \ |:(-3)\\.\ \ \ \ m=\dfrac{4}{3}\\\\substitute\ the\ value\ of\ m\ to\ first\ equation:\\\\3\cdot\dfrac{4}{3}+b=-8\\\\4+b=-8\ \ \ |-4\\b=-12\\\\Answer:\boxed{y=\dfrac{4}{3}x-12}$