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Chapter 4: Q73. (page 188)

Solve the system of equation.

3x+5y=22x鈭�y=鈭�3

Short Answer

Expert verified

The solution is x=-1,y=1.

Step by step solution

01

Step 1- Consider the equation.

Consider the system of equation

3x+5y=2(1)2x鈭�y=鈭�3(2)

02

Step 2- Step description.

Multiply the equation (2) by 5 such that 10x-5y=-15. (3)

Add the equation (3) and the equation (1) as follows:

10x鈭�5y+3x+5y=鈭�15+213x=鈭�13x=鈭�1

03

Step 3- Step description.

Substitute the value of x in equation (1).

3x+5y=23(鈭�1)+5y=2鈭�3+5y=25y=2+3y=1

Therefore, the solution is x=-1,y=1.

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Most popular questions from this chapter

Use matrices A, B, Cand Dto find the following.

A=57鈭�163鈭�9,鈥夆赌�B=835144,鈥夆赌�C=04鈭�257鈭�1,鈥夆赌�D=6290鈭�30

4C

Perform the indicated matrix operation. If the matrix doesn鈥檛 exist, write impossible.

1208915鈭�11鈭�鈭�30492鈭�6

Solve each equation.

2x33z=53y9

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