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PART A
Let's look at our two equations.
y=3x-5
y=6x-8
We will solve this with substitution because we have two different values for y, so it will be be very easy to substitute.
We know that y is equal to 6x-8. This means that we can replace the y in the first equation with 6x-8 and then solve for x.
6x-8=3x-5
We add 8 to both sides.
6x=3x+3
We subtract 3x from both sides.
3x=3
We divide both sides by 3.
x=1
We can plug this x-value into either of our equations to figure out what y is.
y=6(1)-8
y=6-8
y=-2
Therefore, our solution is x=1 and y= -2.
PART B
When graphing the two equations in a systems of equation, the point where they intersect is the solution. We already have our solution, so now we will just write it as a point, which is (1,-2).
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Step-by-step explanation:
(a) n² + 3
First term = 1² + 3 = 4
Second term = 2² + 3 = 7
Third term = 3² + 3 = 12
Fourth term = 4² + 3 = 19
10th term = 10² + 3 = 103
(b) 2n²
First term = 2(1)² = 2
Second term = 2(2)² = 8
Third term = 2(3)² = 18
Fourth term = 2(4)²= 32
10th term = 2(10)² = 200
Hence, this is the required solution.
1) if like “a” and “b” are parallel, than 136+2x+31= 180 (co interior angles)
x=6.5
2)
Answer:15
Step-by-step explanation:
Answer:
there y= -x - 3 is correct
Step-by-step explanation:
(-4,1) ; (-3,0)
y= -x - 3
with (-4,1)
1 = -(-4) - 3 = 4 - 3 = 1. left = right
with (-3,0)
0 = -(-3) - 3 = 3 - 3 = 0. left = right
so the line y = -x - 3 is passes through points (-4,1) and (-3,0)