Answer:
Choice D
Step-by-step explanation:
Several techniques do exist for solving systems of linear equations; substitution method, graphical method and elimination method. For this scenario, since we are not restricted on the method, I opted to use the graphical technique.
The graphical solution to a system of linear equations is the point where the lines intersect. If the lines are never intersect then the system has no solution.
The attachment below shows that the system intersects at the point (-3, 26). Therefore, the system has a single solution: x = -3, y = 26.
The answer would be rational.
Stay safe!! <3
Answer:
0.16666666666
Step-by-step explanation:
4/24
Answer:
(7, 14)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
4x + y = 42
y = x + 7
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 4x + (x + 7) = 42
- Combine like terms: 5x + 7 = 42
- Isolate <em>x</em> term: 5x = 35
- Isolate <em>x</em>: x = 7
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: y = x + 7
- Substitute in <em>x</em>: y = 7 + 7
- Add: y = 14