.
Use the Cramer's rule:
x = ,
where det = determinant of the coefficient matrix det = 1*7 - 8*(-7) = 7 + 56 = 63,
det_x = determinant of the matrix obtained by replacing the first column of the coefficient matrix by the right side vector =
= det = -29*7 - 8*(-37) = 93.
So, x = = .
Answer. .
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On Cramer's rule for solving systems of 2 equations in 2 unknowns see the lessons
- What is a matrix?,
- Determinant of a 2x2-matrix,
- HOW TO solve system of linear equations in two unknowns using determinant (Cramer's rule),
- Solving systems of linear equations in two unknowns using the Cramer's rule,
in this site.
Also, you have this free of charge online textbook in ALGEBRA-II in this site
- ALGEBRA-II - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this online textbook under the topic
"2x2-Matrices, determinants, Cramer's rule for systems in two unknowns"
Save the link to this textbook together with its description
Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson
into your archive and use when it is needed.