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2 years ago

Solve this system of equations by using the substitution method. y=2x-5 6x+7=y

Mathematics

2 answers:

gogolik [260]2 years ago

7 0

Answer:

$x = - 3 \: and \: y = - 11$

Step-by-step explanation:

$since \: y = 2x - 5(equation \: 1) \: \\$

$substitute \: for \: y \: in \: equation \: 2 \: (6x + 7 = y)$

$6x + 7 = y \\ 6x + 7 = 2x - 5 \\ collect \: like \: terms \\ 6x - 2x = - 5 - 7 \\ 4x = - 12 \\ x = \frac{ - 12}{4} \\ x = - 3$

$substitute \: for \: x in \: equation \: 1$

$y = 2x - 5 \\ y = 2( - 3) - 5 \\ y = - 6 - 5 \\ y = - 11$

Ludmilka [50]2 years ago

4 0

Answer:

$y = 2.x = \frac{1}{11}$

<h3>Step-by-step explanation:</h3>

$\binom{x - 56x + 7 = y}{y = 2}$

_______________________

1. Substitute y = 2 :

$(x - 56x + 7 = 2)$

<h3 />

2. Simplify :

$( - 55x + 7 = 2)$

3. Isolate x for $( - 55x + 7 = 2) : x = \frac{1}{11}$

<h3 />

4. The solution of the system of equations are :

$y = 2.x = \frac{1}{11}$

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3 years ago

Read 2 more answers

Write the equation for the graph of y = | x | translated left 4 units

Lerok [7]

Answer: y = |x+4|

Explanation:

Imagine that the graph of y = |x| is carved in stone so it cannot move. What we can move though is the xy axis. If we move the xy axis 4 units to the right, then this gives the illusion the V shaped curve is moving 4 units to the left. It goes opposite whatever movement you do to the xy axis.

If we replaced x with x+4, then this moves the xy axis 4 units to the right.

Therefore, going from y = |x| to y = |x+4| will have the V shaped curve moving 4 units to the left.