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scoray [572]
3 years ago
7

Solve the solution of equations. 3x + 4y = -23 X = 3y + 1 X = Y =

Mathematics
2 answers:
Lena [83]3 years ago
8 0

Answer:

x = -5

y = -2

Step-by-step explanation:

Greeley [361]3 years ago
4 0

Answer:

<h2>x = -5</h2><h2>y = -2</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}3x+4y=-23&(1)\\x=3y+1&(2)\end{array}\right\\\\\text{Substitute (2) to (1):}\\\\3(3y+1)+4y=-23\qquad\text{use the distributive property}\\\\(3)(3y)+(3)(1)+4y=-23\\\\9y+3+4y=-23\qquad\text{subtract 3 from both sides}\\\\13y=-26\qquad\text{divide both sides by 13}\\\\\boxed{y=-2}\\\\\text{Put the value of }\ y\ \text{to (2)}:\\\\x=3(-2)+1\\\\x=-6+1\\\\\boxed{x=-5}

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Which is an equation of the line that passes through the points (–6, 3) and (2, 7)?
Mnenie [13.5K]

Step-by-step explanation:

the typical line equation is

y = ax + b

a is the slope. it is the ratio of "y coordinate change / x coordinate change".

b is the y-intercept (the y value when x = 0) indicating the point, where the line crosses the y-axis.

going from one to the other point

x changes by +8 (from -6 to 2).

y changes by +4 (from 3 to 7).

so, the slope a is +4/+8 = 1/2.

the semi-finished equation is

y = 1/2 x + b

for b we use one of the points in the equation and since for b. let's go for (2, 7) :

7 = 1/2 × 2 + b = 1 + b

6 = b

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2 years ago
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bezimeni [28]

Answer:

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Step-by-step explanation:

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3 years ago
Read 2 more answers
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Answer:

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3 years ago
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Step-by-step explanation:

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