You are given the X value, replace x with 2 in the first equation to solve for y:
y=2x +3
y = 2(2) +3
y = 4+3
y = 7
Now replace y with 7 and x iwth 2 in the second equation and solve for k:
y = -x +k
7 = -2 +k
Add 2 to both sides:
9 = k
so k = 9
The point is given as k-2, which is 9-2 = 7, which is what y equals in the first equation.
K = 9
Hello!
To solve algebraic equations, we need to use SADMEP. SADMEP is an acronym used only solve for x in algebraic equations. SADMEP is expanded to be: subtraction, addition, division, multiplication, exponents, and parentheses.
(a) 4 + 2(-1) = 10 + 2 (multiply)
4 + -2 = 10 + 2 (add)
2 = 12
This equation has no solutions because <u>2 is never equal to 12</u>.
(b) 30 = 10 - (6 + 10) (simplify the parentheses)
30 = 10 + -1(16) (multiply)
30 = 10 - 16 (simplify)
30 = -6
This equation has no solutions because<u> 30 and -6 is never equal to each other</u>.
(c) 8x = 4x + 4x + 10(x - x)
8x = 4x + 4x + 10(x - x) (simplify [add and subtract])
8x = 8x + 10(0) (multiply)
8x = 8x
This equation has an infinite number of solutions because if you <u>substitute any value into the original equation</u>, <u>both sides of the equation</u> will be <u>always equal</u>.
7x + 6y = 21 ⇒ 7x + 6y = 21
1x + 3y = -12 ⇒ 2x + 6y = -24
5x = 45
5 5
x = 9
x + 3y = -12
9 + 3y = -12
- 9 - 9
3y = -21
3 3
y = -7
(x, y) = (9, -7)
It would be 20.000 because you would round down
