## Math Problem Statement

Write a system of two linear equations in x and y that has the ordered pair solution

(55,33). Question content area bottom

Part 1

Choose the correct system below.

A.left brace Start 2 By 1 Matrix 1st Row 1st Column negative 2 x plus y equals 7 2nd Row 1st Column x minus 2 y equals 13 EndMatrix

left brace Start 2 By 1 Matrix 1st Row 1st Column negative 2 x plus y equals 7 2nd Row 1st Column x minus 2 y equals 13 EndMatrix

−2x+y=7

x−2y=13

B.left brace Start 2 By 1 Matrix 1st Row 1st Column negative 2 x plus y equals negative 7 2nd Row 1st Column x minus 2 y equals negative 1 EndMatrix

left brace Start 2 By 1 Matrix 1st Row 1st Column negative 2 x plus y equals negative 7 2nd Row 1st Column x minus 2 y equals negative 1 EndMatrix

−2x+y=−7

x−2y=−1

C.left brace Start 2 By 1 Matrix 1st Row 1st Column negative 2 x plus y equals negative 7 2nd Row 1st Column x minus 2 y equals 1 EndMatrix

left brace Start 2 By 1 Matrix 1st Row 1st Column negative 2 x plus y equals negative 7 2nd Row 1st Column x minus 2 y equals 1 EndMatrix

−2x+y=−7

x−2y=1

D.left brace Start 2 By 1 Matrix 1st Row 1st Column negative 2 x plus y equals 6 2nd Row 1st Column 2 x plus y equals negative 9 EndMatrix

left brace Start 2 By 1 Matrix 1st Row 1st Column negative 2 x plus y equals 6 2nd Row 1st Column 2 x plus y equals negative 9 EndMatrix

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Algebra

Linear Equations

Systems of Equations

### Formulas

Linear equation formula: ax + by = c

Substitution method: solving for one variable and substituting in the second equation

Verification: Substituting ordered pair values into both equations

### Theorems

System of linear equations

Substitution method

Elimination method

### Suitable Grade Level

Grades 9-10

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