Simplify 7x + 2y = -23
Solving
7x + 2y = -23
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2y' to each side of the equation.
7x + 2y + -2y = -23 + -2y
Combine like terms: 2y + -2y = 0
7x + 0 = -23 + -2y
7x = -23 + -2y
Divide each side by '7'.
x = -3.285714286 + -0.2857142857y
Simplifying
x = -3.285714286 + -0.2857142857y
Answer:
p^2 + q^2 = 22/9.
Step-by-step explanation:
For a quadratic function ax^2 + bx + c if the zeroes are A and B then
A + B = -b/a and AB = c/a.
2x^2 - 7x + 3
Now p and q are the zeroes of the above function so
p + q = 7/3 and pq = 3/2.
Now p^2 + q^2 = (p + q)^2 - 2pq
= (7/3)^2 - 2* 3/2
= 49/9 - 3
= 49/4 - 27/9
= 22/9.
x = -2
so 0.5 x (2-(-2)) = 0.5 x 4 = 2