Question

What is the x value

what is the y value
is y the same in each equation
is y the same value as thr solution ​

Answer 1

a) To solve these simultaneous equations, we can set them equal to each other:

2x + 5 = -x + 8

Now, let's solve for x:

Add x to both sides:

2x + x + 5 = 8

Combine like terms:

3x + 5 = 8

Subtract 5 from both sides:

3x = 8 - 5

3x = 3

Now, divide by 3:

x = 3 / 3

x = 1

So, we have found that x = 1.

b) Now, let's substitute the value of x back into each of the equations to find y:

For the first equation, y = 2x + 5:

y = 2(1) + 5

y = 2 + 5

y = 7

For the second equation, y = -x + 8:

y = -(1) + 8

y = -1 + 8

y = 7

i) The value of y in each equation is 7.

ii) The value of y in each equation is equal to the solution in part a), which is 7.