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tatuchka [14]
2 years ago
9

When solving a system of two linear equations

Mathematics
1 answer:
soldier1979 [14.2K]2 years ago
7 0

Answer:

When both equations have the same slope, but not the same y-intercept, they'll be parallel to each other and no intersections means no solutions. When both equations have different slopes than regardless of the y-intercept they'll intersect for certain, therefore it has exactly one solution.

Step-by-step explanation:

Got this from google hope it helps

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Y = 4x+1 y=x^2 + 2x - 2 A.6,2 B. 2,6 C. -6,2 D. -6,-2
natta225 [31]

Answer:

The solution is (3,13) and (-1,-3). So none of the mentioned options is correct.

Step-by-step explanation:

Given that

y = 4x + 1  (i)

y = x^2 + 2x -2 (ii)

Now, by susbstituting the value of 'y' from equation i to equation ii, we get

4x+1=x^2 + 2x -2

0=x^2 + 2x -2-4x-1

0=x^2 + (2x -4x) +(-2-1)

0=x^2 + (-2x) +(-3)

0=x^2 -2x -3

x^2 -2x -3 = 0 (iii)

Now by factorization, equation iii can be written as

x^2 -3x +x -3 = 0

x(x -3) + 1(x -3) = 0

(x -3)(x +1) = 0

x = 3 and x = -1

By putting the values of x in equation i, we get

y = 4(3) + 1

y = 12 +1

y = 13

and

y = 4(-1) + 1

y = -4 +1

y = -3

Therefore, the solution is (3,13) and (-1,-3). So none of the mentioned options is correct.

7 0
3 years ago
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olchik [2.2K]
(x+8)(x-3) have a great day
4 0
2 years ago
I only need questions 2 and 3 it’s urgent could someone please help?
marta [7]

Answer:

a = x-intercept(s):  ( 3 , 0 )

y-intercept(s):  

( 0 , 6 )

B = x-intercept(s):  

( 10 , 0 )

y-intercept(s):  

( 0 , 4 )

Step-by-step explanation:

#

3 0
2 years ago
If y =32 when x =8 find y when x =30
irina1246 [14]

Answer:

y = 120

Step-by-step explanation:

If y = 32 when x = 8, then <em>y</em> is 4 times the number of <em>x</em>. If x = 30, then (4)30 = 120.

8 0
3 years ago
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