Answer:
$1.51
Step-by-step explanation:
To find how much money Lisa has left, subtract the money she spent from how much money she started with.
Therefore, Lisa has $1.51 left.
Sarah solved a quadratic equation. Her work is shown below, with Step 1 missing.
2 answers:
Answer:
step 1 - subtract 6 from both sides
Step-by-step explanation:
Given
2(x + 1)² + 6 = 134
Step 1 - subtract 6 from both sides
2(x + 1)² = 128
Step 2 - divide both sides by 2
(x + 1)² = 64
Step 3 - take the square root of both sides
x + 1 = ± = ± 8
Step 4 - subtract 1 from both side
x = - 1 ± 8
Step 5 - solve for x
x = - 1 - 8 = - 9 or x = - 1 + 8 = 7
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<u>ANSWER: </u>
The solution of the two equations 2x+3y=5 and 4x - y=17 is (4, -1).
<u>SOLUTION: </u>
Given, two linear equations are 2x + 3y = 5 → (1) and 4x – y = 17 → (2).
Let us first solve the above equations using <em>elimination process. </em>
For elimination, one of the coefficients of variables has to be same in order to cancel them.
Now solve (1) and (2)
eqn (1) 2 → 4x + 6y = 10
eqn (2) → 4x – y = 17
(-) ----------------------------
0x + 7y = -7
y = -1
Substitute y value in (2)
So, solution of two equations is (4, -1).
<u><em>Now let us solve using substitution process.</em></u>
Then, (2) → 4x – y = 17 → 4x = 17 + y → y = 4x – 17
Now substitute y value in (1) → 2x + 3(4x – 17) = 5 → 2x + 12x – 51 = 5 → 14x = 5 + 51 → 14x = 56
x = 4
Substitute x value in (2) → y = 4(4) – 17 → y = 16 – 17 → y = -1
Hence, the solution of the two equations is (4, -1).