What is the solution to this system of equations?
2 answers:
Answer: Choice A
(-2, -2)
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Explanation:
I'll use the substitution method to solve this system.
Replace y in the first equation with -x-4. This is because y = -x-4 is mentioned in the second equation.
So,
3x + 2y = -10
3x + 2( y ) = -10
3x + 2( -x-4 ) = -10 .... substitution
3x - 2x - 8 = -10
x - 8 = -10
x = -10+8
x = -2
Then use this to find y
y = -x-4
y = -(x) - 4
y = -(-2) - 4
y = 2 - 4
y = -2
We have x = -2 and y = -2 pair up together
They form the ordered pair solution (x, y) = (-2, -2)
This shows why Choice A is the answer.
Another way to see this is to graph each equation given using a tool like Desmos. It's a free graphing app.
See below.
The two lines intersect at (-2, -2) which is the solution.
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Answer:
m = 0
Step-by-step explanation:
<u>If two lines are parallel, their slopes are equal. </u>
The slope of x - axis is 0
(why?)
because, slope of a line is given by
Θ is the angle made by the line with the x- axis.
Here, the line in question is the x- axis itself, and every line makes an angle of 0° with itself.
=> Θ = 0
=> tan Θ = 0
=> slope = 0
and the line in blue is parallel to the X- axis, therefore, it's slope is also 0
(also, a line makes an angle of 0° with the line it's parallel to)
<u> </u>
The multiple zero is x = -4.
The multiplicity is 2 because there are two values of x.