How would I solve the system 9x +y = 2, -4x -y =-17 when using elimination

Mathematics

1 answer:

larisa [96]3 years ago

7 0

Answer: y=29, x=-3

Step-by-step explanation:

eq. 1: 9x+y=2

9 • -3+y=2

-27+y=2

y=29

eq. 2: -4x-y=-17

4x+y=17

5x=-15

x=-3

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**Disclaimer** Hi there! I assumed the question to be asking for a line expression. The following answer will be according to this understanding. Please let me know if I am incorrect and I will modify my answer correspondingly

Answer: $\Large\boxed{y-5=-\dfrac{3}{2} (x+4)}$

Step-by-step explanation:

Given information

$\text{Pass~through~point}=(x_1,~y_1)=(-4,~5)$

$\text{Parallel~to}:y=-\dfrac{3}{2} x-5$

Given equation form

Point-slope form is the most efficient way to write the expression

$\text{Point-slope form}:y-y_1=m(x-x_1)$

$(x_1,~y_1)=\text{A point that the line passes through}$

$m=\text{Slope}$

Determine the slope

$\text{Since the line is parallel to } y=-\dfrac{3}{2} x-5 \text{ , by the property of parallel}\\\text{lines, the slope of the given line is also }-\dfrac{3}{2}$