# Algebra

posted by .

1. 8x-y=17
6x+y=11

2. 5x-2y=17
2x+3y=3

Question no.1

8x-y=17
6x+y=11 (adding the equation)
__________ (-y and +y will be 0)
14x =28
Taking variables to one side
x=28
__
14
14*2=28
therefore x=2
substitute this value of x in equation 2
6x+y=11
6*2+y=11
12+y=11
y=11-12
y=-1
(x=2)and (y=-1) is the solution of the given equation.

Instead of miley's suggestion, do the following:

Take the value of y in the first formula and substitute it for y in the second formula. Solve the second formula for x.

8x-y=17

-y=17-8x

y=8x-17 (Value of y)

Once x is found, solve for y in the second formula. Check by inserting both values into the first formula.

I hope this helps much more. Thanks for asking.

Question no 2
5x-2y=17 eq 1
2x+3y=3 eq 2
multiply eq 1 by 3
3*5x-3*2y=3*17
15x-6y=51 eq 3
Now multiply eq 2 by 2
2*2x+2*3y=2*3
4x+6y=6 eq 4
15x-6y=51
__________
19x =57 (adding both the equations)
x=57
___
19
x=3
substitute this value of x in eq 2
2x+3y=3
2*3+3y=3
6+3y=3
3y=3-6
3y=-3
y=-1
(x=3) and (y=-1) is the solution of the given equation.

x and the co-effecient cannot be subtracted so the substitution by adding is better

hey tamia can i know by which method are you solving the equation ?

• Algebra -

the you is for my and how that the line of best fit equation is appropriate, mentioning both the slop and y-intercept in your response

## Similar Questions

1. ### math, algebra

this next one i want to make sure that what i'm answering is correct. (1) A rectangle has sides of 3x-4 and 7x+10. Find the expression that represents its perimeter. My answer for solving: P=2L+2W P=2(3w-4)+ 2(7x +10) p=6w-6+14x+10 …
2. ### quick question regarding equations

I know there are methods out there but what do you think is the best or easiest method(s) of solving a system of equations. Depends on the coefficients of the equation. If in one of the equations I can solve for one of the variables …
3. ### Chemistry

In a lab that I am doing I am having difficulty in determining this: What are two indications that suggest a reaction has taken place when HCI was added to Mg?
4. ### math

which equation is equivalent to 5x-2(7x+1)=14x?
5. ### algebra

solve the following equation by clearing fraction want to know if this right -7/3-5/2x=8+2x 6(-7/3)-(5/2)(6)=6(6)+2x(6) 14x-15=48+12x 14x-12x-15=48+14x-14x 2x-15=48 2x-15+15=48+15 2x=-33 2x/2x=-33/2 x=-33/2
6. ### algebra

solve the following equation by clearing fractions show all work want to know if this right -7/3-5/2x=8+2x 6(-2/3)-(5/2x)(6)=6(8)+2x(6) 14x-15=48+12x 14x-12x-15=48+14x-14x 2x-15=48 2x-15+15=48+14x-14x 2x-15=48 2x-15+15=48+15 2x=-33 …
7. ### math

Please explain in detail how to solve each question: At a certain high school, 350 students are taking an algebra course. The ratio of boys to girls taking algebra is 33:37. How many more girls are taking algebra than boys?
8. ### algebra

could you please check this answer for me and correct. thanks given equation point slope form linear equation to use to do question. y-3 = 3(x+1) question rewrite this equation in standard form y- 3 + 3 = 3x - 3x +3 + 3 -3x+ y = 6 …
9. ### Maths

find the equation of the perpendicular bisector of the line joining P(2, -4) to Q(-5,1) A. 8y-14x 13=0 B. 8y-14x-13=0 C. 8y 14x-13=0 D. 8y 14x 13=0 Please I need someone to help me with this, with an explanatory workings.
10. ### math

Can someone please check my work? Question~ Find the point-slope form of the equation that goes through these two points. (1, 20) and (8, 4.5) My Answer~ Y= y2-y1/x2-x1 (4.5-20)/(8-1) = -15.5/7 Rewrite -15.5/7 as (-15.5)/7 Rewrite

More Similar Questions