Maths-
General
Easy

Question

Solve the system of equations by elimination :
X+Y=7
2X-Y= 2

hintHint:

Perform any arithmetic operation and then find.

The correct answer is: We can also solve these system of equations by making the coefficients of x to be the same in both the equations


    Complete step by step solution:
    Let …(i)
    and …(ii)
    On adding (i) and (ii),
    we get LHS to be  x plus y plus 2 x minus y equals 3 x
    and RHS to be 7 + 2 = 9
    On equating LHS and RHS, we get 3x = 9
    ⇒ x = 3
    On substituting the value of  in (i), we get 3 + y = 7
    ⇒ y = 4
    Hence we get x = 3 and y = 4
    Note: We can also solve these system of equations by making the coefficients of
    to be the same in both the equations

    Related Questions to study

    General
    Maths-

    Abby Uses two Social media sites. She has 52 more followers on Site A than on Site B. How many followers does she have on each site ?

    Abby Uses two Social media sites. She has 52 more followers on Site A than on Site B. How many followers does she have on each site ?

    Maths-General
    General
    Maths-

     m∠A + m∠B= ?

     m∠A + m∠B= ?

    Maths-General
    General
    Maths-

    Solve the following by using the method of substitution
    2X-3Y=-8
    Y=X+3

    Solve the following by using the method of substitution
    2X-3Y=-8
    Y=X+3

    Maths-General
    parallel
    General
    Maths-

    What are the X- and Y- coordinates of the Solution for the system of equations
    X = -Y + 4
    2X + 3Y = 4

    What are the X- and Y- coordinates of the Solution for the system of equations
    X = -Y + 4
    2X + 3Y = 4

    Maths-General
    General
    Maths-

    m∠A + m∠B =

    m∠A + m∠B =

    Maths-General
    General
    Maths-

    The angle B of a triangle ABC is right angled triangle. AP is the median of the triangle. Prove that
    A P squared equals A C squared minus 3 over 4 B C squared

    The angle B of a triangle ABC is right angled triangle. AP is the median of the triangle. Prove that
    A P squared equals A C squared minus 3 over 4 B C squared

    Maths-General
    parallel
    General
    Maths-

    In A B C comma straight angle C equals 90 to the power of ring operator. C D perpendicular A B. CD equals straight h. Bc equals straight a comma CA equals straight b text  and  end text AB equals straight ctext  Prove that  end text 1 over h squared equals 1 over a squared plus 1 over b squared

    In A B C comma straight angle C equals 90 to the power of ring operator. C D perpendicular A B. CD equals straight h. Bc equals straight a comma CA equals straight b text  and  end text AB equals straight ctext  Prove that  end text 1 over h squared equals 1 over a squared plus 1 over b squared

    Maths-General
    General
    Maths-

    text  IF  end text R text  is a point inside the rectangle  end text A B C D text , prove that  end text RA squared plus R C squared equals R squared plus R D squared

    text  IF  end text R text  is a point inside the rectangle  end text A B C D text , prove that  end text RA squared plus R C squared equals R squared plus R D squared

    Maths-General
    General
    Maths-

    A drink machine contains 90 litres of water. How many 0.3 litre cups of water can be filled from the machine ?

    A drink machine contains 90 litres of water. How many 0.3 litre cups of water can be filled from the machine ?

    Maths-General
    parallel
    General
    Maths-

    Write the numbers in the standard form
    b) 6.3 cross times 10 to the power of negative 9 end exponent

    Write the numbers in the standard form
    b) 6.3 cross times 10 to the power of negative 9 end exponent

    Maths-General
    General
    Maths-

    Write the numbers in the standard form
    a) 9.225 cross times 10 to the power of negative 8 end exponent

    Write the numbers in the standard form
    a) 9.225 cross times 10 to the power of negative 8 end exponent

    Maths-General
    General
    Maths-

    Express 0.000000000000000000786 in scientific notation

    Express 0.000000000000000000786 in scientific notation

    Maths-General
    parallel
    General
    Maths-

    Write 3.4 cross times 10 to the power of negative 6 end exponent In a standard form.

    Write 3.4 cross times 10 to the power of negative 6 end exponent In a standard form.

    Maths-General
    General
    Maths-

    Express 586000000 in scientific notation

    Express 586000000 in scientific notation

    Maths-General
    General
    Maths-

    Express 0.00000000002985 as a single digit times a power of ten rounded to the nearest ten millionth?

    Express 0.00000000002985 as a single digit times a power of ten rounded to the nearest ten millionth?

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.