Step-by-step explanation:
3x²+4=31
3x²=31-4
3x²=27
x²=27÷3
x²=9
x=±3
Answer:
x = - 1, y = 6
Step-by-step explanation:
Given the 2 equations
y = - 2x + 4 → (1)
y = 6x + 12 → (2)
Substitute y = 6x + 12 into (1)
6x + 12 = - 2x + 4 ( add 2x to both sides )
8x + 12 = 4 ( subtract 12 from both sides )
8x = - 8 ( divide both sides by 8 )
x = - 1
Substitute x = - 1 into either of the 2 equations and solve for y
Substituting into (2)
y = 6(- 1) + 12 = - 6 + 12 = 6
Solution is (- 1, 6 )
Hello there!
See pictures below for the answer!
P.S. I think I answered this question already. I still have it on Microsoft Word :)
As always, it is my pleasure to help students like you!
Answer:
Ax + By = C
A, B and C can be any number--including negative numbers, zero and one! So examples of standard form can look like this:
3_x_ + 7_y_ = 10, where A = 3, B = 7 and C = 10.
Or they can look like this:
x + 5_y_ = 6. In this case, A = 1, B = 5 and C = 6.
Or this:
8_y_ = 9. In this case, A = 0, which is why x does not appear in the equation. B = 8 and C = 9, as you would expect.
And here's one more:
3_x_ − 5_y_ = 12. Here, A = 3, B = −5 and C = 12. Notice that in this case, B is negative five!
The standard form of a linear equation is Ax + By = C, where A, B and C can be any number.