Solve for x₁ and x₂
6x₁+3x₂=60
6x₁-2x₂=80

Answers

Answer 1

Answer: $\left \{ {\big{6x_1+3x_2=60\ \ \ \ \ \ \ \ \ \ \ } \atop \big{6x_1-2x_2=80\ /\cdot(-1)}} \right. \n\n \left \{ {\big{6x_1+3x_2=60\ \ \ \ } \atop \big{-6x_1+2x_2=-80}} \right. \n-----------\n3x_2+2x_2=60-80\n5x_2=-20\ /:5\n\nx_2=-4\n\n6x_1+3x_2=60\ /:3\n2x_1+x_2=20\ \ \ \Rightarrow\ \ \ 2x_1+(-4)=20\ \ \ \Rightarrow\ \ \ 2x_1=24\ /:2\n\nx_1=12\n\n \left \{ {\big{x+1=12} \atop\big {x_2=-4}} \right.$

Answer 2

Answer: first let's change the "x1" to "A" Nd the "x2" to "B" __ so now the problem reads "6A + 3B = 60" And "6A - 2B= 80" we want to isolate variable. and the easiest one is the "B" by getting rid of the "A". set up a subtraction problem where you take one equation away from the other. 6a-6a=0. 3b - (-2b) = 5b and 60-80=-20. so your new equation reads 5B= -20. you wanna get B on one side so yu divide 5 on both sides giving you b= -4 or "x2"=-4. from there you can plug -4 into any one of the original equations. ex: 6A -2(-4)=80 then 6A + 8=80 then you subtract 8 from both sides because you're trying to isolate the "A" variable. which leaves you with 6A = 72. and now you wanna get"A" on one side so yu divide 6 from both sides and get A=12 or "x1"=12. do a quick check and plug in these numbers into any one of the equation.

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Answers

Y=5 because the two triangles are congruent due to the postulate SAS

Answer:

Y equals 5,because the sides are equal and if 1 side is 5 then then other should be 5

Step-by-step explanation:

Simplify 20 + (2 + r).

Answers

the answer is 22+r
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I need help please as fast as possible

Answers

Answer:

yo answer is bottom left

cause the y intercept is touching 2 and 1/2

Step-by-step explanation:

Answer: C I believe.

Step-by-step explanation:

The Y-intercept would be on the Y axis(up and down) and the slope being 1/2, you would go right one and up two(opposite when negative).

50% of all the cakes Jenny baked that week were party cakes,1/5 were fruit cakes and the remainder were sponge cakes. What percentage of cakes were sponge cakes?

Answers

Convert 1/5 into a decimal. Which is .20 or 20% and 20+50=70 100-70= 30%

Clayton drove at a constant rate on the highway for a trip to the beach. He did not make any stops along the way. The distance Clayton had driven at any given time describes a linear function. At 3:00 p.m., he had driven 90 miles. At 4:30 p.m., he had driven 180 miles. Which statement about Clayton’s trip is true?1.Clayton started driving at 1:30 p.m., and he drove 60 miles per hour.

2.Clayton started driving at 3:00 p.m., and he drove 60 miles per hour.

3.Clayton started driving at 1:30 p.m., and he drove 90 miles per hour.

4.Clayton started driving at 4:30 p.m., and he drove 90 miles per hour.

Answers

The answer is the first 1 !!

Here is how we see if it is true!

If Clayton drives 60 miles per hour, that means, that after one hour has passed, they should have traveled 60 miles!

If we look at the number of hours that have passed between 1:30 and 4:30, it is 3 hours.

If someone travels 60 miles every hour that has passed, and they traveled for 3 hours. To find how far they have traveled we just need to multiply 60 miles by 3 hours!

Let's solve that!

60 × 3 = 180 miles!

Clayton started driving at 1:30 pm and went 60 miles per hour.

A number divide by 3 algebraic expression