Question

What is the result of substituting for y in the bottom equation?

y = x + 3
y = x2 + 2x - 4

Answer 1

To find the result of substituting for y in the bottom equation, you need to substitute the expression for y in the top equation and solve the resulting quadratic equation.

Step-by-step explanation:

To find the result of substituting for y in the bottom equation, we need to substitute the expression for y in the top equation:

y = x + 3

Substituting y = x^2 + 2x - 4:

x^2 + 2x - 4 = x + 3

Now, we can solve this quadratic equation by rearranging it into standard form:

x^2 + x - 7 = 0

Using the quadratic formula, x can be found as:

x = (-1 ± √(1 + 4(7))) / 2

x = (-1 ± √(29)) / 2

Therefore, the two possible values of x are (-1 + √(29)) / 2 and (-1 - √(29)) / 2.

Answer 2

The correct option is (B).

Step-by-step explanation:

We need to find the result of substituting for y in the bottom equation.

Equation (1) is :
`y=x+3`

Equation (2) is :
`y=x^2+2x-4`

Put the value of y form equation (1) to equation (2) such that,

`x+3=x^2+2x-4`

It can be seen from the above equation, that option (2) is same as above equation.

Hence, the correct option is (B).