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natulia [17]
2 years ago
9

Which is the first step needed to solve by substitution?

Mathematics
1 answer:
fredd [130]2 years ago
4 0
\begin{gathered} -x+y=-1 \\ 2x-y=3 \end{gathered}

To solve the given system of equations for substitution you:

1. Solve in one of the equations a variable.

For the given options the one that is correct is solve the first equation for y, by adding x to both sides:

\begin{gathered} -x+x+y=-1+x \\ y=-1+x \end{gathered}

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Solve this step by step and explain your answer
WITCHER [35]

Answer:

(-3,5)

Step-by-step explanation:

6x+7y=17

-6x+5y=7

2y=10

y=5

6x+5(5)=7

6x+25=7

6x=7-25

6x=-18

x=-3

3 0
3 years ago
Read 2 more answers
Plot the axis of symmetry and the vertex for this function: h(x) = (x − 5)2 − 7.
jeka94

Answer:

The vertex and the axis of symmetry in the attached figure

Step-by-step explanation:

we know that

The equation of a vertical parabola written in vertex form is equal to

f(x)=a(x-h)^2+k

where

a is the leading coefficient

(h,k) is the vertex of the parabola

and the equation of the axis of symmetry is equal to the x-coordinate of the vertex

x=h

In this problem

we have

h(x)=(x-5)^2-7

This is a vertical parabola written in vertex form open upward

The vertex is a minimum

where

the vertex is the point (5,-7)

the x-coordinate of the vertex is 5

so

the equation of the axis of symmetry is equal to

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The graph in the attached figure

7 0
3 years ago
what is the slope intercept form of the equation of the line described by (-4,-5), parallel to y=-2x -5
Eddi Din [679]

Answer:

y = - 2x - 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x - 5 ← is in slope- intercept form

with m = - 2, thus

y = - 2x + c ← is the partial equation of the line

To find c substitute (- 4, - 5) into the partial equation

- 5 = 8 + c ⇒ c = - 5 - 8 = - 13

y = - 2x - 13 ← equation of line

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3 years ago
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Answer:

(x-y)(x+y+z)

Step-by-step explanation:

x^{2} +xz-y^{2} -yz\\x^{2} -y^{2} +z(x-y)\\(x+y)(x-y)+z(x-y)\\(x-y)(x+y+z)\\

5 0
3 years ago
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Tommy and his family drove home from his grandparent's house in three and a half hours. If they drove at an average rate of 48 m
ivanzaharov [21]

Answer:

=168 miles

Step-by-step explanation:

5 0
3 years ago
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