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Bogdan [553]
3 years ago
12

What is the solution of the linear-quadratic system of equations? {y=x^2+5x−3 {y-x=2

Mathematics
1 answer:
Rina8888 [55]3 years ago
3 0

Answer: the above stated equation is a quadratic equation

Step-by-step explanation:

Given the following equations

y = x^2 + 5x - 3....equation 1

y-x = 2

y = x + 2........equation 2

Let equation 1 equal equation 2

x^2 + 5x -3 = x + 2

Bringing the equation to one side and equating to zero

X^2 +5x - 3 -x -2 = 0

X2 + 5x -x -3 -2 = 0

X^2 + 4x -5

Solving the aquatic equation

(x + 5)(x -1) = 0

X + 5 = 0

X1 = -5

X- 1 = 0

X2 = 1

To prove:

Substitute the values for x1and x2 into the equation x^2 + 4x - 5 = 0

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3 years ago
Use the graph below to estimate the solution to the system of equations shown.
Mila [183]

Answer: The second choice is answer.

Step-by-step explanation:

<h3>The first line (Blue One)</h3>

y=-x-3 (Slope is -1 and intercepts y at -3)

<h3>The second one (Red One)</h3>

y=2x-8 (Slope is 2, to find y-intercept. Substitute x = 0 then we get -8) (For x-intercept, it's 4. Just substitute y=0 to get x-intercept.)

Because there are choices, it's easy to notice.

The first one, x = -4 and almost -5 which is not right. (x is around 1 almost 2.)

The second one, x = 1 and almost 2 is right.

The third one, x = -1 and almost -2 is not right (The intersection isn't even at -1 or any negative number for x-axis.)

The fourth one, just like the first one... x = 4 almost 5

<h3>Or solve the equations.</h3>

y=-x-3\\y=2x-8

Substitute y=2x-8 in y=-x-3

2x-8=-x-3\\2x-8+x+3=0\\3x-5=0\\3x=5\\x=\frac{5}{3}\\(x=1\frac{2}{3})

Look at the value of x then find the answer that matches the value of x.

Now for y, substitute x = 5/3 in y = -x-3 (or in 2x-8 if you want.)

y=-\frac{5}{3} -3\\y=-\frac{5}{3} -\frac{9}{3} \\y=-\frac{14}{3} \\(y=-4\frac{2}{3} )

So the answer is the second choice.

6 0
3 years ago
Need help with this problem ASAP, don’t need an explanation, just an answer
klemol [59]

Answer:

x^3-10x^2+1/9

Step-by-step explanation:

For standard form you need to put the exponents in order. So x^3 is first, followed by -10x^2, and finally 1/9. Hope this helps!

5 0
3 years ago
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Maslowich
Gives an output of 1 I think
3 0
3 years ago
Which is an equation
Montano1993 [528]
The equation is option number c because someth = smth
4 0
3 years ago
Read 2 more answers
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