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garik1379 [7]
2 years ago
8

How many solutions does this system have? y = 3 x minus 5. y = negative x + 4. one two an infinite number no solution

Mathematics
1 answer:
AveGali [126]2 years ago
6 0

Answer:

One

Step-by-step explanation:

It is given that,

y = 3x-5 ....(1)

y = -x+4 .....(2)

We can solve the above equations using substitution method. Put the value of y from equation (1) to equation (2) such that,

3x-5 = -x+4\\\\3x+x = 5+4\\\\4x = 9\\\\x=\dfrac{9}{4}

Put the value of x in equation (1) we get :

y = 3x-5\\\\y = 3\times \dfrac{9}{4}-5\\\\y=\dfrac{7}{4}

It means that the value of x is \dfrac{9}{4} and the value of y is \dfrac{7}{4}. Hence, the given equations has only one solution.

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7%

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Systems of equations with graphing
OlgaM077 [116]

Answer:

x= negative 1 and 2/5 y=1 and 3/5

Step-by-step explanation:

1. Start by putting both equations into slope-intercept form.  (y=mx+b)

-3x+3y=9

-3x+3x+3y=9+3x

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3 0
2 years ago
Read 2 more answers
In JKL, k=4.1 cm,j=3.8 cm and angle J=Q3^ Find all possible values of angle K , to the nearest inch of a degree .
spayn [35]

Answer:

74.0°

Step-by-step explanation:

In triangle JKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°. Find all possible values of angle K, to the  nearest 10th of a degree

Solution:

A triangle is a polygon with three sides and three angles. Types of triangles are right angled triangle, scalene triangle, equilateral triangle and isosceles triangle.

Given a triangle with angles A, B, C and the corresponding sides opposite to the angles as a, b, c. Sine rule states that for the triangle, the following holds:

\frac{a}{sin(A)}=\frac{b}{sin(B)}=\frac{c}{sin(C)}

In triangle JKL, k=4.1 cm, j=3.8 cm and angle J=63°.

Using sine rule, we can find ∠K:

\frac{k}{sin(K)}=\frac{j}{sin(J)}   \\\\\frac{4.1}{sin(K)}=\frac{3.8}{sin(63)}  \\\\sin(K)=\frac{4.1*sin(63)}{3.8}\\\\sin(K)=0.9613\\\\K=sin^{-1} (0.9613)\\\\K=74.0^o  \\

6 0
3 years ago
Lines m and n are parallel.
Vera_Pavlovna [14]

Answer:

c

Step-by-step explanation:

5 0
3 years ago
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