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3 years ago

Solve 3x+2y=4 4x+3y=7 algebraically

1 answer:

8 0

Step 1. Multiply first equation with -3 and the second one with 2. You'll get:
$\left \{ {{-9x-6y=-12} \atop {8x+6y=14}} \right.$

Step 2. Add both equations together. You'll get:
$-x=2$ , which gives x = -2

Step 3. Replace x = -2 in the first equation and calculate y.
$3(-2)+2y=4\\
y=\frac{4+6}{2}=5$

The solution is: x=-2, y=5

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A taxi driver had 27 fares to and from the airport last Monday. The price for a ride to the airport is $14, and the price for a

OLga [1]

Answer:

(15, 12)

Step-by-step explanation:

Let's generate two systems of equations that fit this scenario.

Number of trips to the airport = x

Number of trips from the airport = y

Total number of trips to and from the airport = 27

Thus:

$x + y = 27$ => equation 1.

Total price for trips to the Airport = 14*x = 14x

Total price of trips from the airport = 7*y = 7y

Total collected for the day = $294

Thus:

$14x + 7y = 294$ => equation 2.

Multiply equation 1 by 7, and multiply equation 2 by 1 to make both equations equivalent.

7 × $x + y = 27$

1 × $14x + 7y = 294$

Thus:

$7x + 7y = 189$ => equation 3

$14x + 7y = 294$ => equation 4

Subtract equation 4 from equation 3

-7x = -105

Divide both sides by -7

x = 15

Substitute x = 15 in equation 1

$x + y = 27$

$15 + y = 27$

Subtract both sides by 15

$y = 27 - 15$

$y = 12$

The ordered pair would be (15, 12)

7 0

2 years ago

Help please i can’t figure this out

ehidna [41]

To find the y-intercept: replace x with 0
to find the x-intercept: replace y with 0

x-int:
0 = 10x - 32
32 = 10x
x = 3.2
(3.2, 0)
y-int:
y = 10(0) - 32
y = -32
(0, -32)

6 0

3 years ago

2(t+1)=10. need the answer for t I got the rest just can't get t

harkovskaia [24]

Answer: $t=4$