Solve the equation for x by graphing -2x + 3 = -3(-x) - 2
1 answer:
Answer:
x = 1
Step-by-step explanation:
There are a couple of ways to solve this. One is to graph the left side of the equation, graph the right side of the equation, and look for the point where those graphs intersect. It is at x = 1. The first attached graph shows this solution.
__
Another method for solving such an equation is to subtract one side from the other and look for the value of x that makes the resulting expression zero.
(-2x +3) -(-3(-x) -2) = 0
A graphing calculator doesn't need to have this simplified. If it is simplified, it becomes ...
-5x +5 = 0
So, the graphed line is y = -5x+5. Its x-intercept is x=1, the solution of the original equation. The graph of this is shown in the second attachment.
You might be interested in
In triangle 1, the values are α = 65°, a = 42.02, and 45.66. And in triangle 2, the values are β = 55.74, γ = 84.26, and c = 10.84.
<h3>What is the law of sines?</h3>For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,
we have, by law of sines,
1. β = 15°, γ = 100°, and b = 12, then the missing side and angle will be
The sum is 180° of a triangle. Then the value of α will be 65°.
Then the value of a will be
a = 42.02
Then the value of c will be
c = 45.66
2. α = 40°, a = 7, and b = 9, then the missing side and angle will be
(sin 40°)/7 = (sin β) / 9
sin β = 0.82644
β = 55.74
The sum is 180° of a triangle. Then the value of γ will be 84.26°.
Then the value of c will be
c = 10.84
Learn more about the law of sines here:
#SPJ1