All categories

4 years ago

Solve the system by substitution. *

Mathematics

1 answer:

baherus [9]4 years ago

6 0

Answer:

(-3,-1)

Step-by-step explanation:

Given equations are :

$3x - 2y=-7\ ....(1)\\\\y=-7x - 22...(2)$

Put the value of y from equation (2) to equation (1), so,

$3x - 2(-7x - 22)=-7\\\\3x+14x+44=-7$

Taking variables on one side and constant on another side.

$17x=-7-44\\\\17x=-51\\\\x=-3$

Put x = -3 in equation (2) i.e.

$y=-7(-3) - 22\\\\y=-1$

So, the value of x and y are (-3) and (-1) respectively.

You might be interested in

An automobile manufacturer claims that its car has a 28.0 miles/gallon (MPG) rating. An independent testing firm has been contra

d1i1m1o1n [39]

Answer:

The calculated value z = 1.3145 < 2.326 at 0.02 level of significance

The null hypothesis is accepted

Hence An automobile manufacturer claims that its car has a 28.0 miles/gallon (MPG) rating.

Step-by-step explanation:

Step(i):-

An automobile manufacturer claims that its car has a 28.0 miles/gallon (MPG) rating.

The mean of the Population 'μ' = 28.0miles/gallon

Given data after testing 270 cars, they found a mean MPG of 27.8. Assume the variance is known to be 6.25.

The sample size 'n' = 270

Mean of the sample 'x⁻' = 27.8

Given Population variance 'σ² = 6.25

The standard deviation of Population 'σ' = √6.25 = 2.5

Step(ii):-

Null hypothesis :H₀: 'μ' = 28.

Alternative hypothesis :H₁: 'μ' ≠28.

The test statistic

$Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{27.8-28 }{\frac{2.5}{\sqrt{270} } } = \frac{-0.2}{0.15214}$

Z = -1.3145

|Z| = |-1.3145|= 1.3145

Step(iii):-

The tabulated value of z-score at 0.02 level of significance = 2.326

The calculated value z = 1.3145 < 2.326 at a t 0.02 level of significance

The null hypothesis is accepted

Hence An automobile manufacturer claims that its car has a 28.0 miles/gallon (MPG) rating.

8 0

4 years ago

Carter ran 7/8 mile in a race. Taylor ran 1/4 mile. How much further for carter run than Taylor?

Artist 52 [7]

Answer:

1 17/20 is the answer

3 0

3 years ago

Read 2 more answers

If 3t - 7=5t, then 6t=?

Eddi Din [679]

Minus 2t both sides
-7=2t
times 3 both sides
-21=6t
6t=-21

5 0

3 years ago

Here is a centimetre square grid. Draw a shape with an area of 11cm squared.

aksik [14]

Answer in photo

NOTE: I'm not sure the answer may not be true

Good Luck

#Turkey

6 0

3 years ago

Read 2 more answers

Don elias es un agricultor de papas y va a vender sus productos a las bodegas de la central de abastos de su ciudad.Al preguntar

DiKsa [7]

Answer:

48,952.5 pesos

Step-by-step explanation:

Aquí en esta pregunta queremos calcular el monto a pagar por una mercancía, dado que se paga una cierta cantidad por kg de mercancía.

En la pregunta se nos dice que por kg de papa se paga 18.30 pesos Ahora, en el camión, hay 2.675 kg de patatas El monto a pagar por esto será;

la cantidad por kilogramo * número de kilogramos de patatas

= 18.30 * 2675 = 48,952.5 pesos

3 0

3 years ago