What is the first step in solving this system of equations by elimination?
1 answer:
Answer:
B. Add the two equations.
Step-by-step explanation:
Lets solve our system of equations step-by-step
Step 1. Add the two equations
2x – 2y = 5 +
5x + 2y = 9
----------------
7x = 14
Step 2. Solve for x in the resulting equation
7x = 14
x = 2
Step 3. Replace the value of x in any of the original equations
2x – 2y = 5
2(2) – 2y = 5
4 – 2y = 5
-2y = 5 - 4
-2y = 1
We can conclude that the correct answer is: B. Add the two equations.
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Answer:
<h3><u>Given</u> </h3>- ↦ Three numbers are in the ratio 2 : 3 : 4
- ↦ The sum of number is 54.
- ↦ 'x' is the common factor
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
<h3><u>To</u><u> Find</u> </h3>- ↦ Value of 'x'
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
<h3><u>Solution</u> </h3>Let the numbers,
- ↦ 2x
- ↦ 3x
- ↦ 4x
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
According to the question,
<u>Hence, The value of x is 6.</u>
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Thus numbers are,
- ↦ 2 × 6 = 12
- ↦ 3 × 6 = 18
- ↦ 4 × 6 = 24
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
<h3><u>Verification</u> </h3>- Substituting the numbers
Hence Proved!!
Answer:
<em>Answer:</em> <em>A</em>
Step-by-step explanation:
The HL Theorem states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.
Triangles TRO and OMT share the hypotenuse, so the first part of the theorem is met.
Both triangles are right because they have an internal angle of 90°, so the second condition is also met.
Since there is no indication of any leg to be congruent to another leg, we need additional information to prove that both triangles are congruent.
One of these two conditions should be met:
Side TM is congruent to side OR, or
Side MO is congruent to side RT.
From the available options, only the first is correct.
Answer: A