Answer:
(-1, -1) and (2, 2)
Step-by-step explanation:
Substitute for y in the first equation and solve the quadratic.
x = x^2 -2
x^2 -x -2 = 0 . . . . subtract x
(x -2)(x +1) = 0 . . . .factor
Solutions are the values of x that make these factors be zero:
x = 2, x = -1
Since y=x, the solutions are ...
(x, y) = (-1, -1) and (2, 2)
Answer:
3x+7
Step-by-step explanation:
Three times a number, let x be the number and 7 so plus 7
We're dividing fractions, so we will flip the one in the denominator upside down and we will multiply it with the numerator.
Let's equal this too 8/x
Cross multiply.
Divide both sides by 15.
1.
2x+7=2x-7
2x-2x=-7-7
0=-14
Math error.
2.
3x+8=-2x+8
3x+2x=8-8
5x=0
x=0
3.
4(x+1)=4x+4
4x+4=4x+4
4x-4x=4-4
0=0
Correct
Answer: 150c + 400t ≥ 4900
Step-by-step explanation:
Let the number of chairs sold = c
Let the number of tables sold = t
Price for each chair = $150
Price for each table = $400
The inequality that could represent the number of tables and chairs sold will be:
(150 × c) + (400 × t) ≥ 4900
150c + 400t ≥ 4900
