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givi [52]
2 years ago
12

5x-2y=11 and 3x+4y=4Find the value of x and y in equation.​

Mathematics
2 answers:
nadya68 [22]2 years ago
7 0
  • 5x-3y=11---(1)
  • 3x+4y=4---(2)

(1)×3 and (2)×5

  • 15x-9y=33-(3)
  • 15x+20y=20-(4)

Subtract both

\\ \sf\longmapsto -29y=13

\\ \sf\longmapsto y=\dfrac{-13}{29}

  • Put in eq(1)

\\ \sf\longmapsto 5x+\dfrac{-117}{29}=11

\\ \sf\longmapsto 5x=11+\dfrac{117}{29}=\dfrac{261+117}{29}=\dfrac{278}{29}

\\ \sf\longmapsto x=\dfrac{278}{145}

blagie [28]2 years ago
6 0

Answer:

Step-by-step explanation:

x=2; y=-\frac{1}{2}

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Andrei [34K]

Answer:

Go to desmos graphing calculator and put your equation in and it will graph it for you I used it for my math questions like this

Step-by-step explanation:

HOPE THAT HELPS YOU

7 0
2 years ago
How many solutions does the following equation have? ln(x2 + 4x − 5) = 0
lisov135 [29]
Alrighty
remember
log_a(b)=c means a^c=b
and
ln(x)=log_e(x)
and
x^0=1 for all real values of x
so

ln(x^2+4x-5)=0 means
log_e(x^2+4x-5)=0 means
e^0=x^2+4x-5 which simplifies to
1=x²+4x-5
minus 1 both sides
0=x²+4x-6
use quadratic formula or complete the square
x=-2+\sqrt{10} and x=-2-\sqrt{10}
2 solutions
7 0
3 years ago
Monique made several batches of soup for a potluck supper. Each batch required 3\4 0f a pound of potatoes, and she used a total
eimsori [14]

Answer:

The\ value\ of\ \frac{6 \frac{1}{2}}{\frac{3}{4}} \ is\ \frac{26}{3}.

The\ value\ of\ \frac{6 \frac{1}{2}}{\frac{3}{4}} \ is\ 8.67 (Approx).

Step-by-step explanation:

As given

Monique\ made\ several\ batches\ of\ soup\ for\ a\ potluck\ supper.

Each\ batch\ required\ \frac{3}{4}\ of\ a\ pound\ of\ potatoes.

she\ used\ a\ total\ of\ 6 \frac{1}{2}\ pounds\ of\ potatoes.

As given the expression.

= \frac{6 \frac{1}{2}}{\frac{3}{4}}

= \frac{\frac{13}{2}}{\frac{3}{4}}

Solving the above

= \frac{13\times 4}{2\times 3}

= \frac{26}{3}

In the decimal form.

= 8.67 (Approx)

Therefore\ the\ value\ of\ \frac{6 \frac{1}{2}}{\frac{3}{4}} \ is\ \frac{26}{3}.

Therefore\ the\ value\ of\ \frac{6 \frac{1}{2}}{\frac{3}{4}} \ is\ 8.67 (Approx).

6 0
2 years ago
When exercising, the maximum heart rate (r ) in beats per minute is modeled by the equation shown in the box, where (a ) represe
worty [1.4K]

Answer:

186 beats per minute

Step-by-step explanation:

The maximum heart rate (r ) in beats per minute is modeled by the equation :

r = 220 - a ...(1)

Where

a is age of the person in years

If Sanchez age is, a = 34 years

Put a = 34 in equation (1)

r = 220 - 34

= 186 beats per minute

Hence, the maximum heart rate is 186 beats per minute.

7 0
3 years ago
If you need to put 28.93 gallons of ice cream into just cups, how many cups can you make out of these? Round to a whole number.
docker41 [41]

Answer:

16 cups = 1 gallon

16( 28.93) = 462.88

Therefore, there are 462 cups of ice cream.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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