Answer:
the answer is (-4, 5)
Step-by-step explanation:
Let's use elimination by addition / subtraction:
-6x - 2y = 14
6x + 7y = 11
-------------------
5y = 25, so y = 5.
Substituting 5 for y in the 2nd equation, we get:
6x + 7(5) = 11, or:
6x + 35 = 11, or
6x = -24, or x = -4.
Thus, the answer is (-4, 5). Please double check to ensure you have copied down both system of equations and answer correctly.
Check: Is (-4, 5) a solution to this system?
Subst. -4 for x and 5 for y in the first equation:
-3(-4) - (5) = 7
12 - 5 = 7 YES
Answer:
3/8 cups
Step-by-step explanation:
You want half of the recipe, so you want half of
3
/4 of a cup.
Of means multiplication when it comes to fractions, so multiply
3/
4 by 1/
2 to get 3
/4
⋅
1/
2
=
3/
8
A (4,8) and b (7,2) and let c (x,y)
A , B and C are col-linear ⇒⇒⇒ ∴ slope of AB = slope of BC
slope of AB = (2-8)/(7-4) = -2
slope of BC = (y-2)/(x-7)
∴ (y-2)/(x-7) = -2
∴ (y-2) = -2 (x-7) ⇒⇒⇒ equation (1)
<span>The distance
between two points (x₁,y₁),(x₂,y₂) = d
</span>
The ratio of AB : BC = 3:2
AB/BC = 3/2
∴ 2 AB = 3 BC

= <span>

eliminating the roots by squaring the two side and simplifying the equation
∴ 4 * 45 = (x-7)² + (y-2)² ⇒⇒⇒ equation (2)
substitute by (y-2) from equation (1) at </span><span>equation (2)
4 * 45 = 5 (x-7)²
solve for x
∴ x = 9 or x = 5
∴ y = -2 or y = 6
The point will be (9,-2) or (5,6)
the point (5,6) will be rejected because it is between A and B
So, the point C = (9,-2)
See the attached figure for more explanations
</span>
Answer: No, it is not a solution
Work Shown:
-2 ≤ k/3
-2 ≤ -9/3
-2 ≤ -3
The last inequality is false because -3 should be smaller than -2 (not the other way around). Use a number line to help see this.
Since the last inequality is false, the original inequality must also be false for that particular k value. Therefore, k = -9 is not a solution.
Answer:
infinite solutions
Step-by-step explanation:
Eliminate parentheses and collect terms:
3x -12 +5 -x = 2x -7
2x -7 = 2x -7
This is true for any value of x. There are an infinite number of solutions.