Question

ALGEBRA 2:Solve the following system of equations and show all work.

y = −x2 + 4
y = 2x + 1

Answer 1

the ordered pairs are (-3, -5) and (1, 3).

Answer 2

x=1 or x=-3
y=3 y=-5

Answer 3

you there

Answer 4

? how do you do it?

Answer 5

oh ok sorry

Answer 6

How do you solve it

Answer 7

i will come back with the steps ok

Answer 8

Alright thank you

Answer 9

do you mean x^2

Answer 10

thats impossible

Answer 11

to slove

Answer 12

trust me i know

Answer 13

I just mean how do you solve it step for step I want to learn and i need to solve it. And i do you know?

Answer 14

y=-x2 + 4, y=2x+1
Solution:

y = -x2 + 4

y = 2x + 1

These linear equations can be solved by using elimination or substitution method

As both the equations are equal to y, the two equations are equal to one another.

-x2 + 4 = 2x + 1

By further calculation

4 - 1 = 2x + x2

It can be written as

x2 + 2x = 3

x2 + 2x - 3 = 0

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

So we get

x = -3 or 1

Substituting the value of x in either of the equations

y = 2x + 1 or y = 2x + 1

y = 2 (-3) + 1 or y = 2 (1) + 1

y = - 6 + 1 or y = 2 + 1

y = -5 or y = 3

Therefore, the ordered pairs are (-3, -5) and (1, 3).

Solve the following system of equations and show all work.
Summary:

Solving the following system of equations, the ordered pairs are (-3, -5) and (1, 3).

Answer 15

sorry

Answer 16

me neither. So what are the steps bryan?

Answer 17

here you go

Answer 18

y=-x2 + 4, y=2x+1
Solution:

y = -x2 + 4

y = 2x + 1

These linear equations can be solved by using elimination or substitution method

As both the equations are equal to y, the two equations are equal to one another.

-x2 + 4 = 2x + 1

By further calculation

4 - 1 = 2x + x2

It can be written as

x2 + 2x = 3

x2 + 2x - 3 = 0

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

So we get

x = -3 or 1

Substituting the value of x in either of the equations

y = 2x + 1 or y = 2x + 1

y = 2 (-3) + 1 or y = 2 (1) + 1

y = - 6 + 1 or y = 2 + 1

y = -5 or y = 3

Therefore, the ordered pairs are (-3, -5) and (1, 3).

Solve the following system of equations and show all work.
Summary:

Solving the following system of equations, the ordered pairs are (-3, -5) and (1, 3).