x-2y = -2
x-2(-3x+8)=-2
mutiply the bracket by -2
(-2)(-3x)=6x
(-2)(8)=-16
x+6x-16=-2
7x-16=-2
move -16 to the other side
sign changes from -16 to +16
7x-16+16=-2+16
7x= -2+16
7x= 14
divide both sides by 7
7x/7=14/7
x=2
Find y by using the substitution method
y=-3x+8
y=-3(2)+8
-6+8
=2
Answer:(2,2)
Answer :
5g - g - 10h + 15 - 3
4g - 10h + 15 - 3
4g - 10h + 12
Divide both sides of the equation by - 3
-8x+9y= - 14
-9y+8x=14
simplify the expression
-8x+9y=-14
8x-9y=14
then solve the equation for y
y=-14/9+8/9x
substitute the given value in the ordered pair (x, y)
The discriminant is the portion of the quadratic formula under the root sign: b²-4ac
A quadratic equation in standard form is ax²+bx+c=0. In your equation:
a=1, b=2, and c=6. Substituting them into the equation:
2²-4(1)(6)
=4-24
=(-20)
When the discriminant is negative there are two, imaginary solutions.
If the discriminant equals a positive, perfect square number (like 4, 9, 16, etc), there will be two, rational roots.
If the discriminant equals a positive, nonperfect square number (like 3, 15, 23, etc), there will be two, irrational roots.
If the discriminant equals 0, there will be one double root
A quadratic equation graphs a parabola. The graph of a quadratic with a positive discriminant will pass through the x-axis twice. If the discriminant is 0, it will touch the x-axis and 'bounce' back the way it came. If the discriminant is negative, it will not touch the x-axis.
Answer:
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